851904000 has 640 divisors, whose sum is σ = 3447100800. Its totient is φ = 206438400.

The previous prime is 851903989. The next prime is 851904037. The reversal of 851904000 is 409158.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29375986 + ... + 29376014.

It is an arithmetic number, because the mean of its divisors is an integer number (5386095).

Almost surely, 2^851904000 is an apocalyptic number.

851904000 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 851904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723550400).

851904000 is an abundant number, since it is smaller than the sum of its proper divisors (2595196800).

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

851904000 is a wasteful number, since it uses less digits than its factorization.

851904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 851904000 is about 29187.3945394240. The cubic root of 851904000 is about 947.9750033467.

The spelling of 851904000 in words is "eight hundred fifty-one million, nine hundred four thousand".