7678944 has 144 divisors (see below), whose sum is σ = 26968032. Its totient is φ = 2018304.

The previous prime is 7678933. The next prime is 7678961. The reversal of 7678944 is 4498767.

7678944 = 37³ + 38³ + ... + 75³.

7678944 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 (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7678944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26062 + ... + 26354.

It is an arithmetic number, because the mean of its divisors is an integer number (187278).

Almost surely, 2^7678944 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 7678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484016).

7678944 is an abundant number, since it is smaller than the sum of its proper divisors (19289088).

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

7678944 is a wasteful number, since it uses less digits than its factorization.

7678944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7678944 is about 2771.0907599716. The cubic root of 7678944 is about 197.2879227543.

The spelling of 7678944 in words is "seven million, six hundred seventy-eight thousand, nine hundred forty-four".