80682400 has 36 divisors (see below), whose sum is σ = 196967862. Its totient is φ = 32272640.

The previous prime is 80682389. The next prime is 80682401. The reversal of 80682400 is 428608.

It can be written as a sum of positive squares in 3 ways, for example, as 44249104 + 36433296 = 6652^2 + 6036^2 .

It is not an unprimeable number, because it can be changed into a prime (80682401) 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 5 ways as a sum of consecutive naturals, for example, 49627 + ... + 51226.

Almost surely, 2^80682400 is an apocalyptic number.

80682400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80682400 is an abundant number, since it is smaller than the sum of its proper divisors (116285462).

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

80682400 is a wasteful number, since it uses less digits than its factorization.

80682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100873 (or 100860 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 80682400 is about 8982.3382256515. The cubic root of 80682400 is about 432.1086260903.

The spelling of 80682400 in words is "eighty million, six hundred eighty-two thousand, four hundred".