851947200 has 672 divisors, whose sum is σ = 3518733120. Its totient is φ = 199065600.

The previous prime is 851947183. The next prime is 851947207. The reversal of 851947200 is 2749158.

851947200 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 (36).

It is not an unprimeable number, because it can be changed into a prime (851947207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20779180 + ... + 20779220.

It is an arithmetic number, because the mean of its divisors is an integer number (5236210).

Almost surely, 2^851947200 is an apocalyptic number.

851947200 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 851947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759366560).

851947200 is an abundant number, since it is smaller than the sum of its proper divisors (2666785920).

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

851947200 is a wasteful number, since it uses less digits than its factorization.

851947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 851947200 is about 29188.1345755429. The cubic root of 851947200 is about 947.9910269941.

The spelling of 851947200 in words is "eight hundred fifty-one million, nine hundred forty-seven thousand, two hundred".