844712 has 32 divisors (see below), whose sum is σ = 1792800. Its totient is φ = 369600.

The previous prime is 844709. The next prime is 844717. The reversal of 844712 is 217448.

844712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (844717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2387 + ... + 2717.

It is an arithmetic number, because the mean of its divisors is an integer number (56025).

2⁸⁴⁴⁷¹² 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 844712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896400).

844712 is an abundant number, since it is smaller than the sum of its proper divisors (948088).

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

844712 is a wasteful number, since it uses less digits than its factorization.

844712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 844712 is about 919.0821508440. The cubic root of 844712 is about 94.5299775186.

Subtracting from 844712 its reverse (217448), we obtain a square (627264 = 792²).

The spelling of 844712 in words is "eight hundred forty-four thousand, seven hundred twelve".