7930944 has 126 divisors (see below), whose sum is σ = 26538174. Its totient is φ = 2257920.

The previous prime is 7930943. The next prime is 7931003. The reversal of 7930944 is 4490397.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 705600 = 2688^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×7930944² = 125799745462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7930899 and 7930908.

It is not an unprimeable number, because it can be changed into a prime (7930943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28084 + ... + 28364.

Almost surely, 2^7930944 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 7930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13269087).

7930944 is an abundant number, since it is smaller than the sum of its proper divisors (18607230).

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

7930944 is a wasteful number, since it uses less digits than its factorization.

7930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7930944 is about 2816.1931751924. The cubic root of 7930944 is about 199.4228695374.

The spelling of 7930944 in words is "seven million, nine hundred thirty thousand, nine hundred forty-four".