79924838400 has 1080 divisors, whose sum is σ = 328331631264. Its totient is φ = 19110297600.

The previous prime is 79924838369. The next prime is 79924838429. The reversal of 79924838400 is 483842997.

79924838400 is a `hidden beast` number, since 79 + 92 + 4 + 83 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×79924838400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1094860764 + ... + 1094860836.

Almost surely, 2^79924838400 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 79924838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164165815632).

79924838400 is an abundant number, since it is smaller than the sum of its proper divisors (248406792864).

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

79924838400 is an equidigital number, since it uses as much as digits as its factorization.

79924838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 79924838400 in words is "seventy-nine billion, nine hundred twenty-four million, eight hundred thirty-eight thousand, four hundred".