6823120304 has 120 divisors (see below), whose sum is σ = 17884584480. Its totient is φ = 2453806080.

The previous prime is 6823120303. The next prime is 6823120321. The reversal of 6823120304 is 4030213286.

It is not an unprimeable number, because it can be changed into a prime (6823120303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156812 + ... + 195540.

It is an arithmetic number, because the mean of its divisors is an integer number (149038204).

Almost surely, 2^6823120304 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 6823120304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942292240).

6823120304 is an abundant number, since it is smaller than the sum of its proper divisors (11061464176).

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

6823120304 is a wasteful number, since it uses less digits than its factorization.

6823120304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38779 (or 38762 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 6823120304 is about 82602.1809881555. The cubic root of 6823120304 is about 1896.6812150372.

The spelling of 6823120304 in words is "six billion, eight hundred twenty-three million, one hundred twenty thousand, three hundred four".