79609132800 has 756 divisors, whose sum is σ = 300020682864. Its totient is φ = 20901888000.

The previous prime is 79609132751. The next prime is 79609132829. The reversal of 79609132800 is 823190697.

79609132800 is a `hidden beast` number, since 7 + 9 + 609 + 1 + 32 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×79609132800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 527212725 + ... + 527212875.

Almost surely, 2^79609132800 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 79609132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150010341432).

79609132800 is an abundant number, since it is smaller than the sum of its proper divisors (220411550064).

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

79609132800 is a wasteful number, since it uses less digits than its factorization.

79609132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 79609132800 in words is "seventy-nine billion, six hundred nine million, one hundred thirty-two thousand, eight hundred".