7657960 has 16 divisors (see below), whose sum is σ = 17230500. Its totient is φ = 3063168.

The previous prime is 7657933. The next prime is 7657963. The reversal of 7657960 is 697567.

It can be written as a sum of positive squares in 2 ways, for example, as 6563844 + 1094116 = 2562^2 + 1046^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 191449 = 7657960 / (7 + 6 + 5 + 7 + 9 + 6 + 0).

It is not an unprimeable number, because it can be changed into a prime (7657963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95685 + ... + 95764.

Almost surely, 2^7657960 is an apocalyptic number.

It is an amenable number.

7657960 is an abundant number, since it is smaller than the sum of its proper divisors (9572540).

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

7657960 is a wasteful number, since it uses less digits than its factorization.

7657960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191460 (or 191456 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 7657960 is about 2767.3019350985. The cubic root of 7657960 is about 197.1080513863.

The spelling of 7657960 in words is "seven million, six hundred fifty-seven thousand, nine hundred sixty".