79944523200 has 252 divisors, whose sum is σ = 288147392208. Its totient is φ = 21018009600.

The previous prime is 79944523181. The next prime is 79944523223. The reversal of 79944523200 is 232544997.

It is a super-2 number, since 2×79944523200² (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 35 ways as a sum of consecutive naturals, for example, 983304 + ... + 1061496.

Almost surely, 2^79944523200 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 79944523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144073696104).

79944523200 is an abundant number, since it is smaller than the sum of its proper divisors (208202869008).

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

79944523200 is a wasteful number, since it uses less digits than its factorization.

79944523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78292 (or 78274 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 79944523200 in words is "seventy-nine billion, nine hundred forty-four million, five hundred twenty-three thousand, two hundred".