79128806400 has 1188 divisors, whose sum is σ = 339308132592. Its totient is φ = 17557585920.

The previous prime is 79128806381. The next prime is 79128806413. The reversal of 79128806400 is 460882197.

It is a super-2 number, since 2×79128806400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 485452719 + ... + 485452881.

Almost surely, 2^79128806400 is an apocalyptic number.

79128806400 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 79128806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169654066296).

79128806400 is an abundant number, since it is smaller than the sum of its proper divisors (260179326192).

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

79128806400 is a wasteful number, since it uses less digits than its factorization.

79128806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 79128806400 in words is "seventy-nine billion, one hundred twenty-eight million, eight hundred six thousand, four hundred".