808088000 has 112 divisors (see below), whose sum is σ = 2027005344. Its totient is φ = 319078400.

The previous prime is 808087981. The next prime is 808088033. The reversal of 808088000 is 880808.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663392 + ... + 664608.

It is an arithmetic number, because the mean of its divisors is an integer number (18098262).

Almost surely, 2^808088000 is an apocalyptic number.

808088000 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 808088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013502672).

808088000 is an abundant number, since it is smaller than the sum of its proper divisors (1218917344).

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

808088000 is a wasteful number, since it uses less digits than its factorization.

808088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 808088000 is about 28426.8886795583. Note that the first 3 decimals coincide. The cubic root of 808088000 is about 931.4357136037.

The spelling of 808088000 in words is "eight hundred eight million, eighty-eight thousand".