It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 800 689 is not a prime number.
For example, 800 689 can be divided by 41: 800 689 / 41 = 19 529.
For 800 689 to be a prime number, it would have been required that 800 689 has only two divisors, i.e., itself and 1.
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800 689 is an odd number, because it is not evenly divisible by 2.
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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 800 689 is about 894.812.
Thus, the square root of 800 689 is not an integer, and therefore 800 689 is not a square number.
The square of a number (here 800 689) is the result of the product of this number (800 689) by itself (i.e., 800 689 × 800 689); the square of 800 689 is sometimes called "raising 800 689 to the power 2", or "800 689 squared".
The square of 800 689 is 641 102 874 721 because 800 689 × 800 689 = 800 6892 = 641 102 874 721.
As a consequence, 800 689 is the square root of 641 102 874 721.
The multiples of 800 689 are all integers evenly divisible by 800 689, that is all numbers such that the remainder of the division by 800 689 is zero. There are infinitely many multiples of 800 689. The smallest multiples of 800 689 are: