Is 800 a prime number? What are the divisors of 800?

## Parity of 800

800 is an even number, because it is evenly divisible by 2: 800 / 2 = 400.

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## Is 800 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 800 is about 28.284.

Thus, the square root of 800 is not an integer, and therefore 800 is not a square number.

## What is the square number of 800?

The square of a number (here 800) is the result of the product of this number (800) by itself (i.e., 800 × 800); the square of 800 is sometimes called "raising 800 to the power 2", or "800 squared".

The square of 800 is 640 000 because 800 × 800 = 8002 = 640 000.

As a consequence, 800 is the square root of 640 000.

## Number of digits of 800

800 is a number with 3 digits.

## What are the multiples of 800?

The multiples of 800 are all integers evenly divisible by 800, that is all numbers such that the remainder of the division by 800 is zero. There are infinitely many multiples of 800. The smallest multiples of 800 are:

## 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 800). 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 28.284). 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 800

• Preceding numbers: …798, 799
• Following numbers: 801, 802

### Nearest numbers from 800

• Preceding prime number: 797
• Following prime number: 809
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