6756 has 12 divisors (see below), whose sum is σ = 15792. Its totient is φ = 2248.

The previous prime is 6737. The next prime is 6761. The reversal of 6756 is 6576.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (1316).

2⁶⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

6756 is an abundant number, since it is smaller than the sum of its proper divisors (9036).

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 (7896).

6756 is a wasteful number, since it uses less digits than its factorization.

6756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 6756 is about 82.1948903521. The cubic root of 6756 is about 18.9044137392.

The spelling of 6756 in words is "six thousand, seven hundred fifty-six".