6750 has 32 divisors (see below), whose sum is σ = 18720. Its totient is φ = 1800.

The previous prime is 6737. The next prime is 6761. The reversal of 6750 is 576.

6750 is nontrivially palindromic in base 7 and base 14.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6750.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348 + ... + 1352.

It is an arithmetic number, because the mean of its divisors is an integer number (585).

2⁶⁷⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360).

6750 is an abundant number, since it is smaller than the sum of its proper divisors (11970).

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

6750 is a wasteful number, since it uses less digits than its factorization.

6750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 6750 is about 82.1583836258. The cubic root of 6750 is about 18.8988157484.

The spelling of 6750 in words is "six thousand, seven hundred fifty".