808085556 has 72 divisors (see below), whose sum is σ = 2115369984. Its totient is φ = 259830720.

The previous prime is 808085527. The next prime is 808085569. The reversal of 808085556 is 655580808.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 408586 + ... + 410558.

Almost surely, 2^808085556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808085556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057684992).

808085556 is an abundant number, since it is smaller than the sum of its proper divisors (1307284428).

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

808085556 is a wasteful number, since it uses less digits than its factorization.

808085556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 808085556 is about 28426.8456920567. The cubic root of 808085556 is about 931.4347745841.

It can be divided in two parts, 8080 and 85556, that added together give a square (93636 = 306²).

The spelling of 808085556 in words is "eight hundred eight million, eighty-five thousand, five hundred fifty-six".