79970944800 has 288 divisors, whose sum is σ = 272075836032. Its totient is φ = 20364410880.

The previous prime is 79970944799. The next prime is 79970944831. The reversal of 79970944800 is 844907997.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61657752 + ... + 61659048.

It is an arithmetic number, because the mean of its divisors is an integer number (944707764).

Almost surely, 2^79970944800 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 79970944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136037918016).

79970944800 is an abundant number, since it is smaller than the sum of its proper divisors (192104891232).

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

79970944800 is a wasteful number, since it uses less digits than its factorization.

79970944800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 79970944800 in words is "seventy-nine billion, nine hundred seventy million, nine hundred forty-four thousand, eight hundred".