79117516800 has 1152 divisors, whose sum is σ = 342769021200. Its totient is φ = 17836277760.

The previous prime is 79117516783. The next prime is 79117516813. The reversal of 79117516800 is 861571197.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1083801564 + ... + 1083801636.

Almost surely, 2^79117516800 is an apocalyptic number.

79117516800 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 79117516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171384510600).

79117516800 is an abundant number, since it is smaller than the sum of its proper divisors (263651504400).

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

79117516800 is an equidigital number, since it uses as much as digits as its factorization.

79117516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 79117516800 in words is "seventy-nine billion, one hundred seventeen million, five hundred sixteen thousand, eight hundred".