79890031200 has 864 divisors, whose sum is σ = 324612036000. Its totient is φ = 16955473920.

The previous prime is 79890031129. The next prime is 79890031261. The reversal of 79890031200 is 213009897.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 177928576 + ... + 177929024.

It is an arithmetic number, because the mean of its divisors is an integer number (375708375).

Almost surely, 2^79890031200 is an apocalyptic number.

79890031200 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 79890031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162306018000).

79890031200 is an abundant number, since it is smaller than the sum of its proper divisors (244722004800).

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

79890031200 is a wasteful number, since it uses less digits than its factorization.

79890031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 79890031200 in words is "seventy-nine billion, eight hundred ninety million, thirty-one thousand, two hundred".