816085880 has 64 divisors (see below), whose sum is σ = 1865959200. Its totient is φ = 321177600.

The previous prime is 816085873. The next prime is 816085883. The reversal of 816085880 is 88580618.

816085880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816085883) 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, 1357580 + ... + 1358180.

Almost surely, 2^816085880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816085880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932979600).

816085880 is an abundant number, since it is smaller than the sum of its proper divisors (1049873320).

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

816085880 is a wasteful number, since it uses less digits than its factorization.

816085880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 44.

The square root of 816085880 is about 28567.2168752926. The cubic root of 816085880 is about 934.4985271674.

The spelling of 816085880 in words is "eight hundred sixteen million, eighty-five thousand, eight hundred eighty".