6764 has 12 divisors (see below), whose sum is σ = 12600. Its totient is φ = 3168.

The previous prime is 6763. The next prime is 6779. The reversal of 6764 is 4676.

Its product of digits (1008) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (6761) 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 3 ways as a sum of consecutive naturals, for example, 32 + ... + 120.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

2⁶⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

6764 is a deficient number, since it is larger than the sum of its proper divisors (5836).

6764 is a wasteful number, since it uses less digits than its factorization.

6764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 6764 is about 82.2435407798. The cubic root of 6764 is about 18.9118725736.

It can be divided in two parts, 676 and 4, that multiplied together give a square (2704 = 52²).

The spelling of 6764 in words is "six thousand, seven hundred sixty-four".