851288800 has 72 divisors (see below), whose sum is σ = 2087585136. Its totient is φ = 338979840.

The previous prime is 851288791. The next prime is 851288803. The reversal of 851288800 is 8882158.

851288800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851288803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184117 + ... + 188683.

It is an arithmetic number, because the mean of its divisors is an integer number (28994238).

Almost surely, 2^851288800 is an apocalyptic number.

851288800 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 851288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043792568).

851288800 is an abundant number, since it is smaller than the sum of its proper divisors (1236296336).

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

851288800 is a wasteful number, since it uses less digits than its factorization.

851288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The square root of 851288800 is about 29176.8538399876. The cubic root of 851288800 is about 947.7467559297.

The spelling of 851288800 in words is "eight hundred fifty-one million, two hundred eighty-eight thousand, eight hundred".