8764 has 12 divisors (see below), whose sum is σ = 17584. Its totient is φ = 3744.

The previous prime is 8761. The next prime is 8779. The reversal of 8764 is 4678.

8764 is an admirable number.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129 + ... + 184.

2⁸⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

8764 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792).

8764 is a wasteful number, since it uses less digits than its factorization.

8764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 8764 is about 93.6162379077. The cubic root of 8764 is about 20.6174107370.

It can be divided in two parts, 87 and 64, that added together give a palindrome (151).

The spelling of 8764 in words is "eight thousand, seven hundred sixty-four".