79937568 has 72 divisors (see below), whose sum is σ = 231655788. Its totient is φ = 26138112.

The previous prime is 79937567. The next prime is 79937593. The reversal of 79937568 is 86573997.

79937568 is a `hidden beast` number, since 79 + 9 + 3 + 7 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72386064 + 7551504 = 8508^2 + 2748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (79937567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12646 + ... + 17882.

Almost surely, 2^79937568 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 79937568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115827894).

79937568 is an abundant number, since it is smaller than the sum of its proper divisors (151718220).

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

79937568 is a wasteful number, since it uses less digits than its factorization.

79937568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5295 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 79937568 is about 8940.7811739243. The cubic root of 79937568 is about 430.7748207804.

The spelling of 79937568 in words is "seventy-nine million, nine hundred thirty-seven thousand, five hundred sixty-eight".