851356800 has 576 divisors, whose sum is σ = 3591020160. Its totient is φ = 188006400.

The previous prime is 851356783. The next prime is 851356801. The reversal of 851356800 is 8653158.

851356800 is a `hidden beast` number, since 85 + 13 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (851356801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8265549 + ... + 8265651.

It is an arithmetic number, because the mean of its divisors is an integer number (6234410).

Almost surely, 2^851356800 is an apocalyptic number.

851356800 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 851356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795510080).

851356800 is an abundant number, since it is smaller than the sum of its proper divisors (2739663360).

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

851356800 is a wasteful number, since it uses less digits than its factorization.

851356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 851356800 is about 29178.0191239913. The cubic root of 851356800 is about 947.7719902425.

The spelling of 851356800 in words is "eight hundred fifty-one million, three hundred fifty-six thousand, eight hundred".