79809760800 has 1296 divisors, whose sum is σ = 369550097280. Its totient is φ = 15834931200.

The previous prime is 79809760717. The next prime is 79809760837. The reversal of 79809760800 is 806790897.

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, 140262916 + ... + 140263484.

It is an arithmetic number, because the mean of its divisors is an integer number (285146680).

Almost surely, 2^79809760800 is an apocalyptic number.

79809760800 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 79809760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184775048640).

79809760800 is an abundant number, since it is smaller than the sum of its proper divisors (289740336480).

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

79809760800 is a wasteful number, since it uses less digits than its factorization.

79809760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 79809760800 in words is "seventy-nine billion, eight hundred nine million, seven hundred sixty thousand, eight hundred".