7696 has 20 divisors (see below), whose sum is σ = 16492. Its totient is φ = 3456.

The previous prime is 7691. The next prime is 7699. The reversal of 7696 is 6967.

7696 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 3600 = 64^2 + 60^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7691) by changing a digit.

7696 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190 + ... + 226.

2⁷⁶⁹⁶ 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 7696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246).

7696 is an abundant number, since it is smaller than the sum of its proper divisors (8796).

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

7696 is a wasteful number, since it uses less digits than its factorization.

7696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 52 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 7696 is about 87.7268487978. The cubic root of 7696 is about 19.7433882691.

Subtracting from 7696 its reverse (6967), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 7 and 696, that added together give a triangular number (703 = T₃₇).

The spelling of 7696 in words is "seven thousand, six hundred ninety-six".