810297264 has 80 divisors (see below), whose sum is σ = 2402981120. Its totient is φ = 230480640.

The previous prime is 810297239. The next prime is 810297283. The reversal of 810297264 is 462792018.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71679 + ... + 82209.

It is an arithmetic number, because the mean of its divisors is an integer number (30037264).

Almost surely, 2^810297264 is an apocalyptic number.

810297264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810297264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201490560).

810297264 is an abundant number, since it is smaller than the sum of its proper divisors (1592683856).

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

810297264 is a wasteful number, since it uses less digits than its factorization.

810297264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10778 (or 10772 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 810297264 is about 28465.7208586047. The cubic root of 810297264 is about 932.2837709705.

The spelling of 810297264 in words is "eight hundred ten million, two hundred ninety-seven thousand, two hundred sixty-four".