816910920 has 320 divisors, whose sum is σ = 3171168000. Its totient is φ = 184757760.

The previous prime is 816910883. The next prime is 816910921. The reversal of 816910920 is 29019618.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (816910921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4104981 + ... + 4105179.

It is an arithmetic number, because the mean of its divisors is an integer number (9909900).

Almost surely, 2^816910920 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 816910920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585584000).

816910920 is an abundant number, since it is smaller than the sum of its proper divisors (2354257080).

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

816910920 is a wasteful number, since it uses less digits than its factorization.

816910920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 816910920 is about 28581.6535560838. The cubic root of 816910920 is about 934.8133383942.

The spelling of 816910920 in words is "eight hundred sixteen million, nine hundred ten thousand, nine hundred twenty".