79574308800 has 672 divisors, whose sum is σ = 312400005120. Its totient is φ = 17353113600.

The previous prime is 79574308787. The next prime is 79574308843. The reversal of 79574308800 is 880347597.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64746586 + ... + 64747814.

It is an arithmetic number, because the mean of its divisors is an integer number (464880960).

Almost surely, 2^79574308800 is an apocalyptic number.

79574308800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79574308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156200002560).

79574308800 is an abundant number, since it is smaller than the sum of its proper divisors (232825696320).

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

79574308800 is a wasteful number, since it uses less digits than its factorization.

79574308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 79574308800 in words is "seventy-nine billion, five hundred seventy-four million, three hundred eight thousand, eight hundred".