6805404 has 48 divisors (see below), whose sum is σ = 17950240. Its totient is φ = 2229120.

The previous prime is 6805397. The next prime is 6805411. The reversal of 6805404 is 4045086.

It is an interprime number because it is at equal distance from previous prime (6805397) and next prime (6805411).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 6072 + ... + 7104.

Almost surely, 2^6805404 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 6805404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975120).

6805404 is an abundant number, since it is smaller than the sum of its proper divisors (11144836).

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

6805404 is a wasteful number, since it uses less digits than its factorization.

6805404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6805404 is about 2608.7169260002. The cubic root of 6805404 is about 189.5038207912.

It can be divided in two parts, 680 and 5404, that added together give a square (6084 = 78²).

The spelling of 6805404 in words is "six million, eight hundred five thousand, four hundred four".