808064000 has 176 divisors, whose sum is σ = 2069271360. Its totient is φ = 314777600.

The previous prime is 808063973. The next prime is 808064021. The reversal of 808064000 is 460808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7551947 + ... + 7552053.

Almost surely, 2^808064000 is an apocalyptic number.

808064000 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 808064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034635680).

808064000 is an abundant number, since it is smaller than the sum of its proper divisors (1261207360).

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

808064000 is a wasteful number, since it uses less digits than its factorization.

808064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 808064000 is about 28426.4665408840. The cubic root of 808064000 is about 931.4264923809.

The spelling of 808064000 in words is "eight hundred eight million, sixty-four thousand".