8766 has 12 divisors (see below), whose sum is σ = 19032. Its totient is φ = 2916.

The previous prime is 8761. The next prime is 8779. The reversal of 8766 is 6678.

8766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (1586).

2⁸⁷⁶⁶ is an apocalyptic number.

8766 is an abundant number, since it is smaller than the sum of its proper divisors (10266).

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

8766 is a wasteful number, since it uses less digits than its factorization.

8766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 492 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 8766 is about 93.6269192060. The cubic root of 8766 is about 20.6189789587.

It can be divided in two parts, 87 and 66, that added together give a triangular number (153 = T₁₇).

The spelling of 8766 in words is "eight thousand, seven hundred sixty-six".