7688 has 12 divisors (see below), whose sum is σ = 14895. Its totient is φ = 3720.

The previous prime is 7687. The next prime is 7691. The reversal of 7688 is 8867.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 3844 + 3844 = 62^2 + 62^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=62.

It is a Duffinian number.

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 7688.

It is not an unprimeable number, because it can be changed into a prime (7681) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 233 + ... + 263.

2⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

7688 is a deficient number, since it is larger than the sum of its proper divisors (7207).

7688 is a wasteful number, since it uses less digits than its factorization.

7688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 33 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 7688 is about 87.6812408671. The cubic root of 7688 is about 19.7365448064.

The spelling of 7688 in words is "seven thousand, six hundred eighty-eight".