79999180800 has 1344 divisors, whose sum is σ = 351041817600. Its totient is φ = 15571353600.

The previous prime is 79999180787. The next prime is 79999180813. The reversal of 79999180800 is 808199997.

It is an interprime number because it is at equal distance from previous prime (79999180787) and next prime (79999180813).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 898867156 + ... + 898867244.

Almost surely, 2^79999180800 is an apocalyptic number.

79999180800 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 79999180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175520908800).

79999180800 is an abundant number, since it is smaller than the sum of its proper divisors (271042636800).

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

79999180800 is a wasteful number, since it uses less digits than its factorization.

79999180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 60.

The spelling of 79999180800 in words is "seventy-nine billion, nine hundred ninety-nine million, one hundred eighty thousand, eight hundred".