811418880 has 144 divisors (see below), whose sum is σ = 2661974784. Its totient is φ = 210493440.

The previous prime is 811418849. The next prime is 811418887. The reversal of 811418880 is 88814118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811418887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139225 + ... + 144935.

It is an arithmetic number, because the mean of its divisors is an integer number (18485936).

Almost surely, 2^811418880 is an apocalyptic number.

811418880 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 811418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330987392).

811418880 is an abundant number, since it is smaller than the sum of its proper divisors (1850555904).

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

811418880 is a wasteful number, since it uses less digits than its factorization.

811418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 39.

The square root of 811418880 is about 28485.4152155098. The cubic root of 811418880 is about 932.7137293494.

The spelling of 811418880 in words is "eight hundred eleven million, four hundred eighteen thousand, eight hundred eighty".