811308960 has 576 divisors, whose sum is σ = 3592802304. Its totient is φ = 167961600.

The previous prime is 811308947. The next prime is 811309013. The reversal of 811308960 is 69803118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993625 + ... + 2993895.

It is an arithmetic number, because the mean of its divisors is an integer number (6237504).

Almost surely, 2^811308960 is an apocalyptic number.

811308960 is a gapful number since it is divisible by the number (80) 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 811308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796401152).

811308960 is an abundant number, since it is smaller than the sum of its proper divisors (2781493344).

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

811308960 is a wasteful number, since it uses less digits than its factorization.

811308960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 811308960 is about 28483.4857417417. The cubic root of 811308960 is about 932.6716103217.

The spelling of 811308960 in words is "eight hundred eleven million, three hundred eight thousand, nine hundred sixty".