7956 has 36 divisors (see below), whose sum is σ = 22932. Its totient is φ = 2304.

The previous prime is 7951. The next prime is 7963. The reversal of 7956 is 6597.

It can be written as a sum of positive squares in 2 ways, for example, as 3600 + 4356 = 60^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (1890) is a multiple of the sum of its prime divisors (35).

It is a plaindrome in base 15.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7951) by changing a digit.

7956 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 11 ways as a sum of consecutive naturals, for example, 460 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (637).

2⁷⁹⁵⁶ 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 7956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466).

7956 is an abundant number, since it is smaller than the sum of its proper divisors (14976).

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

7956 is a wasteful number, since it uses less digits than its factorization.

7956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 35 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 7956 is about 89.1964124839. The cubic root of 7956 is about 19.9632659050.

The spelling of 7956 in words is "seven thousand, nine hundred fifty-six".