811672880 has 80 divisors (see below), whose sum is σ = 1974650400. Its totient is φ = 309872640.

The previous prime is 811672877. The next prime is 811672889. The reversal of 811672880 is 88276118.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (811672889) 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, 204515 + ... + 208445.

It is an arithmetic number, because the mean of its divisors is an integer number (24683130).

Almost surely, 2^811672880 is an apocalyptic number.

811672880 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 811672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987325200).

811672880 is an abundant number, since it is smaller than the sum of its proper divisors (1162977520).

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

811672880 is a wasteful number, since it uses less digits than its factorization.

811672880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The square root of 811672880 is about 28489.8732885915. The cubic root of 811672880 is about 932.8110422488.

The spelling of 811672880 in words is "eight hundred eleven million, six hundred seventy-two thousand, eight hundred eighty".