79780624 has 135 divisors (see below), whose sum is σ = 204694581. Its totient is φ = 30011520.

The previous prime is 79780553. The next prime is 79780633. The reversal of 79780624 is 42608797.

The square root of 79780624 is 8932.

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., 41835024 + 37945600 = 6468^2 + 6160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2751042 + ... + 2751070.

Almost surely, 2^79780624 is an apocalyptic number.

79780624 is the 8932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79780624

79780624 is an abundant number, since it is smaller than the sum of its proper divisors (124913957).

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

79780624 is a wasteful number, since it uses less digits than its factorization.

79780624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The cubic root of 79780624 is about 430.4927180560.

The spelling of 79780624 in words is "seventy-nine million, seven hundred eighty thousand, six hundred twenty-four".