7874944 has 128 divisors (see below), whose sum is σ = 21150720. Its totient is φ = 2826240.

The previous prime is 7874939. The next prime is 7874959. The reversal of 7874944 is 4494787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (225792) is a multiple of the sum of its prime divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 7874944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167529 + ... + 167575.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 2^7874944 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 7874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360).

7874944 is an abundant number, since it is smaller than the sum of its proper divisors (13275776).

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

7874944 is a wasteful number, since it uses less digits than its factorization.

7874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 7874944 is about 2806.2330623097. The cubic root of 7874944 is about 198.9523888017.

The spelling of 7874944 in words is "seven million, eight hundred seventy-four thousand, nine hundred forty-four".