811054080 has 176 divisors, whose sum is σ = 2882831040. Its totient is φ = 216244224.

The previous prime is 811054039. The next prime is 811054091. The reversal of 811054080 is 80450118.

811054080 is a `hidden beast` number, since 8 + 110 + 540 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135307 + ... + 141173.

Almost surely, 2^811054080 is an apocalyptic number.

811054080 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 811054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441415520).

811054080 is an abundant number, since it is smaller than the sum of its proper divisors (2071776960).

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

811054080 is a wasteful number, since it uses less digits than its factorization.

811054080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 811054080 is about 28479.0112187906. The cubic root of 811054080 is about 932.5739310363.

The spelling of 811054080 in words is "eight hundred eleven million, fifty-four thousand, eighty".