Is 776 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 776, the answer is: No, 776 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 776) is as follows: 1, 2, 4, 8, 97, 194, 388, 776.

For 776 to be a prime number, it would have been required that 776 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

776 is a multiple of 1
776 is a multiple of 2
776 is a multiple of 4
776 is a multiple of 8
776 is a multiple of 97
776 is a multiple of 194
776 is a multiple of 388

For 776 to be a prime number, it would have been required that 776 has only two divisors, i.e., itself and 1.

Is 776 a deficient number?

Yes, 776 is a deficient number, that is to say 776 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 776 without 776 itself (that is 1 + 2 + 4 + 8 + 97 + 194 + 388 = 694).

Parity of 776

776 is an even number, because it is evenly divisible by 2: 776 / 2 = 388.

Find out more:

What is an even number?

Is 776 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 776 is about 27.857.

Thus, the square root of 776 is not an integer, and therefore 776 is not a square number.

What is the square number of 776?

The square of a number (here 776) is the result of the product of this number (776) by itself (i.e., 776 × 776); the square of 776 is sometimes called "raising 776 to the power 2", or "776 squared".

The square of 776 is 602 176 because 776 × 776 = 776² = 602 176.

As a consequence, 776 is the square root of 602 176.

Number of digits of 776

776 is a number with 3 digits.

What are the multiples of 776?

The multiples of 776 are all integers evenly divisible by 776, that is all numbers such that the remainder of the division by 776 is zero. There are infinitely many multiples of 776. The smallest multiples of 776 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 776 too, since 0 × 776 = 0
776: indeed, 776 is a multiple of itself, since 776 is evenly divisible by 776 (we have 776 / 776 = 1, so the remainder of this division is indeed zero)
1 552: indeed, 1 552 = 776 × 2
2 328: indeed, 2 328 = 776 × 3
3 104: indeed, 3 104 = 776 × 4
3 880: indeed, 3 880 = 776 × 5
etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 776). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 27.857). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 776

Preceding numbers: …774, 775
Following numbers: 777, 778…

Nearest numbers from 776

Preceding prime number: 773
Following prime number: 787