808090560 has 112 divisors (see below), whose sum is σ = 2850794400. Its totient is φ = 215488512.

The previous prime is 808090559. The next prime is 808090561. The reversal of 808090560 is 65090808.

808090560 is a `hidden beast` number, since 8 + 0 + 8 + 0 + 90 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (808090559) and next prime (808090561).

It is a super-2 number, since 2×808090560² = 1306020706322227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808090561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38125 + ... + 55404.

Almost surely, 2^808090560 is an apocalyptic number.

808090560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808090560 is an abundant number, since it is smaller than the sum of its proper divisors (2042703840).

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

808090560 is a wasteful number, since it uses less digits than its factorization.

808090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93555 (or 93539 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 808090560 is about 28426.9337073136. The cubic root of 808090560 is about 931.4366971900.

The spelling of 808090560 in words is "eight hundred eight million, ninety thousand, five hundred sixty".