844800 has 132 divisors (see below), whose sum is σ = 3045936. Its totient is φ = 204800.

The previous prime is 844777. The next prime is 844841. The reversal of 844800 is 8448.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

844800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76795 + ... + 76805.

2⁸⁴⁴⁸⁰⁰ is an apocalyptic number.

844800 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 844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522968).

844800 is an abundant number, since it is smaller than the sum of its proper divisors (2201136).

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

844800 is a wasteful number, since it uses less digits than its factorization.

844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 844800 is about 919.1300234461. The cubic root of 844800 is about 94.5332600374.

Multiplying 844800 by its reverse (8448), we get a square (7136870400 = 84480²).

844800 divided by its reverse (8448) gives a square (100 = 10²).

It can be divided in two parts, 84 and 4800, that added together give a palindrome (4884).

The spelling of 844800 in words is "eight hundred forty-four thousand, eight hundred".