855892800 has 378 divisors, whose sum is σ = 3541622838. Its totient is φ = 195471360.

The previous prime is 855892777. The next prime is 855892801. The reversal of 855892800 is 8298558.

855892800 is a `hidden beast` number, since 8 + 558 + 92 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1382976 + 854509824 = 1176^2 + 29232^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855892801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 704994 + ... + 706206.

Almost surely, 2^855892800 is an apocalyptic number.

855892800 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 855892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770811419).

855892800 is an abundant number, since it is smaller than the sum of its proper divisors (2685730038).

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

855892800 is a wasteful number, since it uses less digits than its factorization.

855892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 855892800 is about 29255.6456090102. The cubic root of 855892800 is about 949.4522419404.

The spelling of 855892800 in words is "eight hundred fifty-five million, eight hundred ninety-two thousand, eight hundred".