79915584 has 112 divisors (see below), whose sum is σ = 244539008. Its totient is φ = 22560768.

The previous prime is 79915579. The next prime is 79915607. The reversal of 79915584 is 48551997.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×79915584² = 12773001132122112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130062 + ... + 130674.

It is an arithmetic number, because the mean of its divisors is an integer number (2183384).

Almost surely, 2^79915584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79915584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122269504).

79915584 is an abundant number, since it is smaller than the sum of its proper divisors (164623424).

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

79915584 is a wasteful number, since it uses less digits than its factorization.

79915584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 722 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The square root of 79915584 is about 8939.5516666106. The cubic root of 79915584 is about 430.7353273684.

The spelling of 79915584 in words is "seventy-nine million, nine hundred fifteen thousand, five hundred eighty-four".