808096000 has 72 divisors (see below), whose sum is σ = 2013147864. Its totient is φ = 323225600.

The previous prime is 808095949. The next prime is 808096031. The reversal of 808096000 is 690808.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 803835904 = 2064^2 + 28352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19374 + ... + 44626.

It is an arithmetic number, because the mean of its divisors is an integer number (27960387).

Almost surely, 2^808096000 is an apocalyptic number.

808096000 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 808096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006573932).

808096000 is an abundant number, since it is smaller than the sum of its proper divisors (1205051864).

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

808096000 is an equidigital number, since it uses as much as digits as its factorization.

808096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25284 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 808096000 is about 28427.0293910567. The cubic root of 808096000 is about 931.4387873040.

The spelling of 808096000 in words is "eight hundred eight million, ninety-six thousand".