855807120 has 480 divisors, whose sum is σ = 3596436480. Its totient is φ = 184757760.

The previous prime is 855807103. The next prime is 855807133. The reversal of 855807120 is 21708558.

855807120 is a `hidden beast` number, since 8 + 5 + 580 + 71 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585355 + ... + 2585685.

It is an arithmetic number, because the mean of its divisors is an integer number (7492576).

Almost surely, 2^855807120 is an apocalyptic number.

855807120 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 855807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798218240).

855807120 is an abundant number, since it is smaller than the sum of its proper divisors (2740629360).

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

855807120 is a wasteful number, since it uses less digits than its factorization.

855807120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 855807120 is about 29254.1812396109. The cubic root of 855807120 is about 949.4205589294.

The spelling of 855807120 in words is "eight hundred fifty-five million, eight hundred seven thousand, one hundred twenty".