800501904 has 60 divisors (see below), whose sum is σ = 2255389500. Its totient is φ = 265036032.

The previous prime is 800501857. The next prime is 800501929. The reversal of 800501904 is 409105008.

800501904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 226803600 + 573698304 = 15060^2 + 23952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2802 + ... + 40110.

It is an arithmetic number, because the mean of its divisors is an integer number (37589825).

Almost surely, 2^800501904 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 800501904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127694750).

800501904 is an abundant number, since it is smaller than the sum of its proper divisors (1454887596).

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

800501904 is a wasteful number, since it uses less digits than its factorization.

800501904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37472 (or 37463 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 800501904 is about 28293.1423493397. The cubic root of 800501904 is about 928.5118621378.

The spelling of 800501904 in words is "eight hundred million, five hundred one thousand, nine hundred four".