80085300 has 144 divisors (see below), whose sum is σ = 251983872. Its totient is φ = 19558400.

The previous prime is 80085293. The next prime is 80085319. The reversal of 80085300 is 358008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208909 + ... + 209291.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2^80085300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80085300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

80085300 is an abundant number, since it is smaller than the sum of its proper divisors (171898572).

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

80085300 is a wasteful number, since it uses less digits than its factorization.

80085300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 80085300 is about 8949.0390545578. The cubic root of 80085300 is about 431.0400280077.

The spelling of 80085300 in words is "eighty million, eighty-five thousand, three hundred".