79655788800 has 972 divisors, whose sum is σ = 339219427456. Its totient is φ = 18139852800.

The previous prime is 79655788781. The next prime is 79655788871. The reversal of 79655788800 is 888755697.

79655788800 is a `hidden beast` number, since 79 + 6 + 557 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293932665 + ... + 293932935.

Almost surely, 2^79655788800 is an apocalyptic number.

79655788800 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 79655788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169609713728).

79655788800 is an abundant number, since it is smaller than the sum of its proper divisors (259563638656).

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

79655788800 is an frugal number, since it uses more digits than its factorization.

79655788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 79655788800 in words is "seventy-nine billion, six hundred fifty-five million, seven hundred eighty-eight thousand, eight hundred".