813303808 has 48 divisors (see below), whose sum is σ = 1670317740. Its totient is φ = 395624448.

The previous prime is 813303787. The next prime is 813303823. The reversal of 813303808 is 808303318.

It can be written as a sum of positive squares in 2 ways, for example, as 812934144 + 369664 = 28512^2 + 608^2 .

It is a super-2 number, since 2×813303808² = 1322926168214601728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70410 + ... + 81142.

Almost surely, 2^813303808 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 813303808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835158870).

813303808 is an abundant number, since it is smaller than the sum of its proper divisors (857013932).

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

813303808 is a wasteful number, since it uses less digits than its factorization.

813303808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10792 (or 10772 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 813303808 is about 28518.4818670279. The cubic root of 813303808 is about 933.4354028962.

The spelling of 813303808 in words is "eight hundred thirteen million, three hundred three thousand, eight hundred eight".