It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 77 401 is not a prime number.
For example, 77 401 can be divided by 17: 77 401 / 17 = 4 553.
For 77 401 to be a prime number, it would have been required that 77 401 has only two divisors, i.e., itself and 1.
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77 401 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 77 401 is about 278.210.
Thus, the square root of 77 401 is not an integer, and therefore 77 401 is not a square number.
The square of a number (here 77 401) is the result of the product of this number (77 401) by itself (i.e., 77 401 × 77 401); the square of 77 401 is sometimes called "raising 77 401 to the power 2", or "77 401 squared".
The square of 77 401 is 5 990 914 801 because 77 401 × 77 401 = 77 4012 = 5 990 914 801.
As a consequence, 77 401 is the square root of 5 990 914 801.
The multiples of 77 401 are all integers evenly divisible by 77 401, that is all numbers such that the remainder of the division by 77 401 is zero. There are infinitely many multiples of 77 401. The smallest multiples of 77 401 are: