80368800 has 72 divisors (see below), whose sum is σ = 261608256. Its totient is φ = 21431040.

The previous prime is 80368793. The next prime is 80368801. The reversal of 80368800 is 886308.

It is not an unprimeable number, because it can be changed into a prime (80368801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14344 + ... + 19143.

It is an arithmetic number, because the mean of its divisors is an integer number (3633448).

Almost surely, 2^80368800 is an apocalyptic number.

80368800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80368800 is an abundant number, since it is smaller than the sum of its proper divisors (181239456).

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

80368800 is a wasteful number, since it uses less digits than its factorization.

80368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33510 (or 33497 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 80368800 is about 8964.8647507924. The cubic root of 80368800 is about 431.5480527265.

It can be divided in two parts, 8036 and 8800, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 80368800 in words is "eighty million, three hundred sixty-eight thousand, eight hundred".