816960000 has 400 divisors, whose sum is σ = 2914617024. Its totient is φ = 202752000.

The previous prime is 816959987. The next prime is 816960017. The reversal of 816960000 is 69618.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 816960000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22079982 + ... + 22080018.

Almost surely, 2^816960000 is an apocalyptic number.

816960000 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 816960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457308512).

816960000 is an abundant number, since it is smaller than the sum of its proper divisors (2097657024).

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

816960000 is an equidigital number, since it uses as much as digits as its factorization.

816960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 816960000 is about 28582.5121359198. The cubic root of 816960000 is about 934.8320592114.

The spelling of 816960000 in words is "eight hundred sixteen million, nine hundred sixty thousand".