855568800 has 216 divisors, whose sum is σ = 3034493280. Its totient is φ = 226828800.

The previous prime is 855568799. The next prime is 855568811. The reversal of 855568800 is 8865558.

855568800 is a `hidden beast` number, since 8 + 5 + 5 + 568 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2383021 + ... + 2383379.

It is an arithmetic number, because the mean of its divisors is an integer number (14048580).

Almost surely, 2^855568800 is an apocalyptic number.

855568800 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 855568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517246640).

855568800 is an abundant number, since it is smaller than the sum of its proper divisors (2178924480).

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

855568800 is a wasteful number, since it uses less digits than its factorization.

855568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

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

The square root of 855568800 is about 29250.1076921094. The cubic root of 855568800 is about 949.3324211125.

The spelling of 855568800 in words is "eight hundred fifty-five million, five hundred sixty-eight thousand, eight hundred".