7894944 has 72 divisors (see below), whose sum is σ = 22800960. Its totient is φ = 2590848.

The previous prime is 7894921. The next prime is 7894961. The reversal of 7894944 is 4494987.

7894944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 7894944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22579 + ... + 22925.

It is an arithmetic number, because the mean of its divisors is an integer number (316680).

Almost surely, 2^7894944 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 7894944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400480).

7894944 is an abundant number, since it is smaller than the sum of its proper divisors (14906016).

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

7894944 is a wasteful number, since it uses less digits than its factorization.

7894944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7894944 is about 2809.7942985208. The cubic root of 7894944 is about 199.1206729187.

The spelling of 7894944 in words is "seven million, eight hundred ninety-four thousand, nine hundred forty-four".