813288704 has 36 divisors (see below), whose sum is σ = 1718903844. Its totient is φ = 382722048.

The previous prime is 813288701. The next prime is 813288719. The reversal of 813288704 is 407882318.

It can be written as a sum of positive squares in 2 ways, for example, as 583705600 + 229583104 = 24160^2 + 15152^2 .

It is a super-2 number, since 2×813288704² = 1322877032107999232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813288701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89087 + ... + 97790.

It is an arithmetic number, because the mean of its divisors is an integer number (47747329).

Almost surely, 2^813288704 is an apocalyptic number.

It is an amenable number.

813288704 is an abundant number, since it is smaller than the sum of its proper divisors (905615140).

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

813288704 is a wasteful number, since it uses less digits than its factorization.

813288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186910 (or 186896 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 813288704 is about 28518.2170550685. The cubic root of 813288704 is about 933.4296245325.

The spelling of 813288704 in words is "eight hundred thirteen million, two hundred eighty-eight thousand, seven hundred four".