6760 has 24 divisors (see below), whose sum is σ = 16470. Its totient is φ = 2496.

The previous prime is 6737. The next prime is 6761. The reversal of 6760 is 676.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 3844 = 54^2 + 62^2 .

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (6761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 514 + ... + 526.

2⁶⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235).

6760 is an abundant number, since it is smaller than the sum of its proper divisors (9710).

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

6760 is a wasteful number, since it uses less digits than its factorization.

6760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 6760 is about 82.2192191644. The cubic root of 6760 is about 18.9081438920.

Subtracting from 6760 its reverse (676), we obtain a square (6084 = 78²).

It can be divided in two parts, 6 and 760, that multiplied together give a triangular number (4560 = T₉₅).

The spelling of 6760 in words is "six thousand, seven hundred sixty".