852883200 has 648 divisors, whose sum is σ = 3528867888. Its totient is φ = 194641920.

The previous prime is 852883193. The next prime is 852883223. The reversal of 852883200 is 2388258.

852883200 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12729567 + ... + 12729633.

Almost surely, 2^852883200 is an apocalyptic number.

852883200 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 852883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764433944).

852883200 is an abundant number, since it is smaller than the sum of its proper divisors (2675984688).

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

852883200 is a wasteful number, since it uses less digits than its factorization.

852883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 852883200 is about 29204.1640866504. The cubic root of 852883200 is about 948.3380730885.

It can be divided in two parts, 85288 and 3200, that added together give a palindrome (88488).

The spelling of 852883200 in words is "eight hundred fifty-two million, eight hundred eighty-three thousand, two hundred".