853800 has 48 divisors (see below), whose sum is σ = 2648640. Its totient is φ = 227520.

The previous prime is 853799. The next prime is 853807. The reversal of 853800 is 8358.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 853800.

It is not an unprimeable number, because it can be changed into a prime (853807) 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, 112 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (55180).

2⁸⁵³⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324320).

853800 is an abundant number, since it is smaller than the sum of its proper divisors (1794840).

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

853800 is a wasteful number, since it uses less digits than its factorization.

853800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 853800 is about 924.0129869217. The cubic root of 853800 is about 94.8677754224.

Subtracting from 853800 its sum of digits (24), we obtain a square (853776 = 924²).

It can be divided in two parts, 853 and 800, that added together give a triangular number (1653 = T₅₇).

The spelling of 853800 in words is "eight hundred fifty-three thousand, eight hundred".