79995988800 has 3024 divisors, whose sum is σ = 411691775040. Its totient is φ = 15049359360.

The previous prime is 79995988789. The next prime is 79995988801. The reversal of 79995988800 is 888959997.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79995988801) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 4210315191 + ... + 4210315209.

It is an arithmetic number, because the mean of its divisors is an integer number (136141460).

Almost surely, 2^79995988800 is an apocalyptic number.

79995988800 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 79995988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205845887520).

79995988800 is an abundant number, since it is smaller than the sum of its proper divisors (331695786240).

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

79995988800 is a wasteful number, since it uses less digits than its factorization.

79995988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 72.

The spelling of 79995988800 in words is "seventy-nine billion, nine hundred ninety-five million, nine hundred eighty-eight thousand, eight hundred".