80085600 has 324 divisors, whose sum is σ = 329955444. Its totient is φ = 18224640.

The previous prime is 80085583. The next prime is 80085613. The reversal of 80085600 is 658008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352687 + ... + 352913.

It is an arithmetic number, because the mean of its divisors is an integer number (1018381).

Almost surely, 2^80085600 is an apocalyptic number.

80085600 is a gapful number since it is divisible by the number (80) 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 80085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164977722).

80085600 is an abundant number, since it is smaller than the sum of its proper divisors (249869844).

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

80085600 is a wasteful number, since it uses less digits than its factorization.

80085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 80085600 is about 8949.0558161183. The cubic root of 80085600 is about 431.0405662332.

The spelling of 80085600 in words is "eighty million, eighty-five thousand, six hundred".