6790 has 16 divisors (see below), whose sum is σ = 14112. Its totient is φ = 2304.

The previous prime is 6781. The next prime is 6791. The reversal of 6790 is 976.

6790 = 8² + 9² + ... + 27².

It is a super-2 number, since 2×6790² = 92208200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (882).

2⁶⁷⁹⁰ is an apocalyptic number.

6790 is an abundant number, since it is smaller than the sum of its proper divisors (7322).

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 (7056).

6790 is a wasteful number, since it uses less digits than its factorization.

6790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 6790 is about 82.4014562978. The cubic root of 6790 is about 18.9360732441.

The spelling of 6790 in words is "six thousand, seven hundred ninety".