800904 has 64 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 230400.

The previous prime is 800903. The next prime is 800909. The reversal of 800904 is 409008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5229 + ... + 5379.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁸⁰⁰⁹⁰⁴ 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 800904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

800904 is an abundant number, since it is smaller than the sum of its proper divisors (1497336).

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

800904 is a wasteful number, since it uses less digits than its factorization.

800904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 800904 is about 894.9323996817. The cubic root of 800904 is about 92.8667301456.

The spelling of 800904 in words is "eight hundred thousand, nine hundred four".