7956640 has 36 divisors (see below), whose sum is σ = 18882234. Its totient is φ = 3168384.

The previous prime is 7956631. The next prime is 7956661. The reversal of 7956640 is 466597.

It can be written as a sum of positive squares in only one way, i.e., 7160976 + 795664 = 2676^2 + 892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7956640.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35569 + ... + 35791.

Almost surely, 2^7956640 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 7956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9441117).

7956640 is an abundant number, since it is smaller than the sum of its proper divisors (10925594).

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

7956640 is an equidigital number, since it uses as much as digits as its factorization.

7956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 7956640 is about 2820.7516728702. The cubic root of 7956640 is about 199.6380118850.

Adding to 7956640 its product of nonzero digits (45360), we get a triangular number (8002000 = T₄₀₀₀).

The spelling of 7956640 in words is "seven million, nine hundred fifty-six thousand, six hundred forty".