79093370400 has 1152 divisors, whose sum is σ = 315879782400. Its totient is φ = 16962355200.

The previous prime is 79093370357. The next prime is 79093370437. The reversal of 79093370400 is 407339097.

It is a super-2 number, since 2×79093370400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 767896749 + ... + 767896851.

It is an arithmetic number, because the mean of its divisors is an integer number (274201200).

Almost surely, 2^79093370400 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 79093370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157939891200).

79093370400 is an abundant number, since it is smaller than the sum of its proper divisors (236786412000).

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

79093370400 is a wasteful number, since it uses less digits than its factorization.

79093370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 42.

The spelling of 79093370400 in words is "seventy-nine billion, ninety-three million, three hundred seventy thousand, four hundred".