800556825600 has 990 divisors, whose sum is σ = 3448783880520. Its totient is φ = 182961192960.

The previous prime is 800556825581. The next prime is 800556825637. The reversal of 800556825600 is 6528655008.

800556825600 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 5 + 6 + 82 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 101602461 + ... + 101610339.

Almost surely, 2^800556825600 is an apocalyptic number.

800556825600 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 800556825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724391940260).

800556825600 is an abundant number, since it is smaller than the sum of its proper divisors (2648227054920).

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

800556825600 is a wasteful number, since it uses less digits than its factorization.

800556825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 800556825600 in words is "eight hundred billion, five hundred fifty-six million, eight hundred twenty-five thousand, six hundred".