79744900 has 81 divisors (see below), whose sum is σ = 186601989. Its totient is φ = 29576160.

The previous prime is 79744897. The next prime is 79744921. The reversal of 79744900 is 944797.

The square root of 79744900 is 8930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28708164 + 51036736 = 5358^2 + 7144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1696677 + ... + 1696723.

Almost surely, 2^79744900 is an apocalyptic number.

79744900 is the 8930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79744900

79744900 is an abundant number, since it is smaller than the sum of its proper divisors (106857089).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79744900 is a wasteful number, since it uses less digits than its factorization.

79744900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The cubic root of 79744900 is about 430.4284534217.

Multiplying 79744900 by its product of nonzero digits (63504), we get a square (5064120129600 = 2250360²).

The spelling of 79744900 in words is "seventy-nine million, seven hundred forty-four thousand, nine hundred".