8768 has 14 divisors (see below), whose sum is σ = 17526. Its totient is φ = 4352.

The previous prime is 8761. The next prime is 8779. The reversal of 8768 is 8678.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 1024 = 88^2 + 32^2 .

It is a nialpdrome in base 8 and base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 8768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5 + ... + 132.

2⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

8768 is a deficient number, since it is larger than the sum of its proper divisors (8758).

8768 is a wasteful number, since it uses less digits than its factorization.

8768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

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

The square root of 8768 is about 93.6375992858. The cubic root of 8768 is about 20.6205469419.

The spelling of 8768 in words is "eight thousand, seven hundred sixty-eight".