79627968 has 224 divisors, whose sum is σ = 277977600. Its totient is φ = 21869568.

The previous prime is 79627967. The next prime is 79627981. The reversal of 79627968 is 86972697.

79627968 is a `hidden beast` number, since 7 + 9 + 627 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×79627968² = 12681226575618048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (79627967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350671 + ... + 350897.

Almost surely, 2^79627968 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 79627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

79627968 is an abundant number, since it is smaller than the sum of its proper divisors (198349632).

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

79627968 is a wasteful number, since it uses less digits than its factorization.

79627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 79627968 is about 8923.4504537202. The cubic root of 79627968 is about 430.2179677336.

The spelling of 79627968 in words is "seventy-nine million, six hundred twenty-seven thousand, nine hundred sixty-eight".