813099360 has 48 divisors (see below), whose sum is σ = 2561264496. Its totient is φ = 216826368.

The previous prime is 813099359. The next prime is 813099367. The reversal of 813099360 is 63990318.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×813099360² = 1322261138464819200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813099367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846499 + ... + 847458.

It is an arithmetic number, because the mean of its divisors is an integer number (53359677).

Almost surely, 2^813099360 is an apocalyptic number.

813099360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813099360 is an abundant number, since it is smaller than the sum of its proper divisors (1748165136).

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

813099360 is a wasteful number, since it uses less digits than its factorization.

813099360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693975 (or 1693967 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 813099360 is about 28514.8971592043. The cubic root of 813099360 is about 933.3571807966.

The spelling of 813099360 in words is "eight hundred thirteen million, ninety-nine thousand, three hundred sixty".