816809760800 has 72 divisors (see below), whose sum is σ = 2175312927312. Its totient is φ = 297021728000.

The previous prime is 816809760773. The next prime is 816809760817. The reversal of 816809760800 is 8067908618.

816809760800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×816809760800⁴ (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46400846 + ... + 46418445.

It is an arithmetic number, because the mean of its divisors is an integer number (30212679546).

Almost surely, 2^816809760800 is an apocalyptic number.

816809760800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816809760800 is an abundant number, since it is smaller than the sum of its proper divisors (1358503166512).

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

816809760800 is a wasteful number, since it uses less digits than its factorization.

816809760800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92819322 (or 92819309 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 816809760800 in words is "eight hundred sixteen billion, eight hundred nine million, seven hundred sixty thousand, eight hundred".