80900 has 18 divisors (see below), whose sum is σ = 175770. Its totient is φ = 32320.

The previous prime is 80897. The next prime is 80909. The reversal of 80900 is 908.

It can be written as a sum of positive squares in 3 ways, for example, as 16384 + 64516 = 128^2 + 254^2 .

It is not an unprimeable number, because it can be changed into a prime (80909) 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, 305 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2⁸⁰⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

80900 is an abundant number, since it is smaller than the sum of its proper divisors (94870).

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

80900 is a wasteful number, since it uses less digits than its factorization.

80900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 80900 is about 284.4292530666. The cubic root of 80900 is about 43.2496742266.

The spelling of 80900 in words is "eighty thousand, nine hundred".