79890624 has 168 divisors, whose sum is σ = 259616448. Its totient is φ = 24157440.

The previous prime is 79890593. The next prime is 79890631. The reversal of 79890624 is 42609897.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 79890624.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170839 + ... + 171305.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^79890624 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 79890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808224).

79890624 is an abundant number, since it is smaller than the sum of its proper divisors (179725824).

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

79890624 is a wasteful number, since it uses less digits than its factorization.

79890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 79890624 is about 8938.1555144224. The cubic root of 79890624 is about 430.6904789056.

The spelling of 79890624 in words is "seventy-nine million, eight hundred ninety thousand, six hundred twenty-four".