82800666400 has 36 divisors (see below), whose sum is σ = 202137128802. Its totient is φ = 33120266240.

The previous prime is 82800666331. The next prime is 82800666401. The reversal of 82800666400 is 466600828.

It can be written as a sum of positive squares in 3 ways, for example, as 31313425936 + 51487240464 = 176956^2 + 226908^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (82800666401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51749617 + ... + 51751216.

Almost surely, 2^82800666400 is an apocalyptic number.

82800666400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82800666400 is an abundant number, since it is smaller than the sum of its proper divisors (119336462402).

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

82800666400 is a wasteful number, since it uses less digits than its factorization.

82800666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103500853 (or 103500840 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 82800666400 in words is "eighty-two billion, eight hundred million, six hundred sixty-six thousand, four hundred".