7896 has 32 divisors (see below), whose sum is σ = 23040. Its totient is φ = 2208.

The previous prime is 7883. The next prime is 7901. The reversal of 7896 is 6987.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (3024) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (720).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11520).

7896 is an abundant number, since it is smaller than the sum of its proper divisors (15144).

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

7896 is a wasteful number, since it uses less digits than its factorization.

7896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 59 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 7896 is about 88.8594395661. The cubic root of 7896 is about 19.9129550417.

Subtracting from 7896 its reverse (6987), we obtain a palindrome (909).

It can be divided in two parts, 7 and 896, that added together give a triangular number (903 = T₄₂).

The spelling of 7896 in words is "seven thousand, eight hundred ninety-six".