7960 has 16 divisors (see below), whose sum is σ = 18000. Its totient is φ = 3168.

The previous prime is 7951. The next prime is 7963. The reversal of 7960 is 697.

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963) by changing a digit.

7960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 60 + ... + 139.

It is an arithmetic number, because the mean of its divisors is an integer number (1125).

2⁷⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

7960 is an abundant number, since it is smaller than the sum of its proper divisors (10040).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000).

7960 is a wasteful number, since it uses less digits than its factorization.

7960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 7960 is about 89.2188320928. The cubic root of 7960 is about 19.9666109563.

Adding to 7960 its product of nonzero digits (378), we get a palindrome (8338).

The spelling of 7960 in words is "seven thousand, nine hundred sixty".