813298304 has 192 divisors, whose sum is σ = 2069686080. Its totient is φ = 311500800.

The previous prime is 813298267. The next prime is 813298319. The reversal of 813298304 is 403892318.

It is a super-2 number, since 2×813298304² = 1322908262578552832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6208319 + ... + 6208449.

It is an arithmetic number, because the mean of its divisors is an integer number (10779615).

Almost surely, 2^813298304 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 813298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034843040).

813298304 is an abundant number, since it is smaller than the sum of its proper divisors (1256387776).

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

813298304 is a wasteful number, since it uses less digits than its factorization.

813298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 813298304 is about 28518.3853680393. The cubic root of 813298304 is about 933.4332972296.

The spelling of 813298304 in words is "eight hundred thirteen million, two hundred ninety-eight thousand, three hundred four".