852800 has 84 divisors (see below), whose sum is σ = 2314956. Its totient is φ = 307200.

The previous prime is 852799. The next prime is 852809. The reversal of 852800 is 8258.

It can be written as a sum of positive squares in 6 ways, for example, as 287296 + 565504 = 536^2 + 752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852809) 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, 20780 + ... + 20820.

It is an arithmetic number, because the mean of its divisors is an integer number (27559).

2⁸⁵²⁸⁰⁰ is an apocalyptic number.

852800 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 852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157478).

852800 is an abundant number, since it is smaller than the sum of its proper divisors (1462156).

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

852800 is a wasteful number, since it uses less digits than its factorization.

852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 852800 is about 923.4717104492. The cubic root of 852800 is about 94.8307234832.

The spelling of 852800 in words is "eight hundred fifty-two thousand, eight hundred".