79579008 has 96 divisors (see below), whose sum is σ = 235311960. Its totient is φ = 25795584.

The previous prime is 79578997. The next prime is 79579013. The reversal of 79579008 is 80097597.

79579008 is a `hidden beast` number, since 79 + 579 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41691 + ... + 43557.

Almost surely, 2^79579008 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 79579008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117655980).

79579008 is an abundant number, since it is smaller than the sum of its proper divisors (155732952).

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

79579008 is a wasteful number, since it uses less digits than its factorization.

79579008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 79579008 is about 8920.7066984629. The cubic root of 79579008 is about 430.1297751436.

The spelling of 79579008 in words is "seventy-nine million, five hundred seventy-nine thousand, eight".