79682032800 has 1296 divisors, whose sum is σ = 332112493440. Its totient is φ = 18542960640.

The previous prime is 79682032799. The next prime is 79682032823. The reversal of 79682032800 is 823028697.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×79682032800² (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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1695362377 + ... + 1695362423.

It is an arithmetic number, because the mean of its divisors is an integer number (256259640).

Almost surely, 2^79682032800 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 79682032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166056246720).

79682032800 is an abundant number, since it is smaller than the sum of its proper divisors (252430460640).

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

79682032800 is a wasteful number, since it uses less digits than its factorization.

79682032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 79682032800 in words is "seventy-nine billion, six hundred eighty-two million, thirty-two thousand, eight hundred".