6807 has 4 divisors (see below), whose sum is σ = 9080. Its totient is φ = 4536.

The previous prime is 6803. The next prime is 6823. The reversal of 6807 is 7086.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 6807 - 2² = 6803 is a prime.

It is a D-number.

It is the 83-rd Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6803) by changing a digit.

It is a nontrivial repunit in base 82.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1132 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (2270).

2⁶⁸⁰⁷ is an apocalyptic number.

6807 is a deficient number, since it is larger than the sum of its proper divisors (2273).

6807 is a wasteful number, since it uses less digits than its factorization.

6807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 6807 is about 82.5045453293. The cubic root of 6807 is about 18.9518633748.

Subtracting from 6807 its sum of digits (21), we obtain a triangular number (6786 = T₁₁₆).

The spelling of 6807 in words is "six thousand, eight hundred seven".