811734880 has 96 divisors (see below), whose sum is σ = 2100204288. Its totient is φ = 294028800.

The previous prime is 811734877. The next prime is 811734901. The reversal of 811734880 is 88437118.

It is a super-2 number, since 2×811734880² = 1317827030817228800, which contains 22 as substring.

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

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, 546619 + ... + 548101.

It is an arithmetic number, because the mean of its divisors is an integer number (21877128).

Almost surely, 2^811734880 is an apocalyptic number.

811734880 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 811734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050102144).

811734880 is an abundant number, since it is smaller than the sum of its proper divisors (1288469408).

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

811734880 is a wasteful number, since it uses less digits than its factorization.

811734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 811734880 is about 28490.9613737410. The cubic root of 811734880 is about 932.8347927085.

The spelling of 811734880 in words is "eight hundred eleven million, seven hundred thirty-four thousand, eight hundred eighty".