844376 has 32 divisors (see below), whose sum is σ = 1784160. Its totient is φ = 371712.

The previous prime is 844369. The next prime is 844421. The reversal of 844376 is 673448.

Added to its reverse (673448) it gives a square (1517824 = 1232²).

It is a happy number.

It is a d-powerful number, because it can be written as 8⁵ + 4⁷ + 3¹² + 4⁹ + 7³ + 6⁴ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2216 + ... + 2568.

It is an arithmetic number, because the mean of its divisors is an integer number (55755).

2⁸⁴⁴³⁷⁶ 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 844376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892080).

844376 is an abundant number, since it is smaller than the sum of its proper divisors (939784).

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

844376 is a wasteful number, since it uses less digits than its factorization.

844376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 844376 is about 918.8993416039. The cubic root of 844376 is about 94.5174421674.

Adding to 844376 its reverse (673448), we get a square (1517824 = 1232²).

The spelling of 844376 in words is "eight hundred forty-four thousand, three hundred seventy-six".