811086880 has 72 divisors (see below), whose sum is σ = 1938170052. Its totient is φ = 320753664.

The previous prime is 811086869. The next prime is 811086961. The reversal of 811086880 is 88680118.

It can be written as a sum of positive squares in 6 ways, for example, as 17875984 + 793210896 = 4228^2 + 28164^2 .

It is a super-3 number, since 3×811086880³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2042842 + ... + 2043238.

Almost surely, 2^811086880 is an apocalyptic number.

811086880 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 811086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969085026).

811086880 is an abundant number, since it is smaller than the sum of its proper divisors (1127083172).

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

811086880 is a wasteful number, since it uses less digits than its factorization.

811086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 40.

The square root of 811086880 is about 28479.5870756582. The cubic root of 811086880 is about 932.5865023363.

The spelling of 811086880 in words is "eight hundred eleven million, eighty-six thousand, eight hundred eighty".