It is a tau number, because it is divible by the number of its divisors (36).
It is an Ulam number.
It is a congruent number.
26804 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 6804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6804 is a wasteful number, since it uses less digits than its factorization.
6804 is an evil number, because the sum of its binary digits is even.
The square root of 6804 is about 82.4863625092. The cubic root of 6804 is about 18.9490787930.
Subtracting from 6804 its sum of digits (18), we obtain a triangular number (6786 = T116).
6804 divided by its sum of digits (18) gives a triangular number (378 = T27).
Adding to 6804 its product of nonzero digits (192), we get a palindrome (6996).
The spelling of 6804 in words is "six thousand, eight hundred four".