808920 has 128 divisors (see below), whose sum is σ = 3110400. Its totient is φ = 183168.

The previous prime is 808919. The next prime is 808937. The reversal of 808920 is 29808.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7507 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2⁸⁰⁸⁹²⁰ 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 808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200).

808920 is an abundant number, since it is smaller than the sum of its proper divisors (2301480).

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

808920 is a wasteful number, since it uses less digits than its factorization.

808920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 808920 is about 899.3997998666. The cubic root of 808920 is about 93.1755269850.

It can be divided in two parts, 808 and 920, that added together give a cube (1728 = 12³).

The spelling of 808920 in words is "eight hundred eight thousand, nine hundred twenty".