813908304 has 160 divisors (see below), whose sum is σ = 2592691200. Its totient is φ = 242375040.

The previous prime is 813908281. The next prime is 813908309. The reversal of 813908304 is 403809318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813908309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278917 + ... + 281819.

It is an arithmetic number, because the mean of its divisors is an integer number (16204320).

Almost surely, 2^813908304 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 813908304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296345600).

813908304 is an abundant number, since it is smaller than the sum of its proper divisors (1778782896).

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

813908304 is a wasteful number, since it uses less digits than its factorization.

813908304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 813908304 is about 28529.0782185475. The cubic root of 813908304 is about 933.6666072845. Note that the first 4 decimals are identical.

The spelling of 813908304 in words is "eight hundred thirteen million, nine hundred eight thousand, three hundred four".