6828804 has 72 divisors (see below), whose sum is σ = 18520320. Its totient is φ = 2116800.

The previous prime is 6828779. The next prime is 6828821. The reversal of 6828804 is 4088286.

It is a super-3 number, since 3×6828804³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32259 + ... + 32469.

Almost surely, 2^6828804 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 6828804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260160).

6828804 is an abundant number, since it is smaller than the sum of its proper divisors (11691516).

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

6828804 is a wasteful number, since it uses less digits than its factorization.

6828804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6828804 is about 2613.1980407156. The cubic root of 6828804 is about 189.7207717430.

The spelling of 6828804 in words is "six million, eight hundred twenty-eight thousand, eight hundred four".