6800320800 has 864 divisors, whose sum is σ = 30096323712. Its totient is φ = 1406730240.

The previous prime is 6800320789. The next prime is 6800320853. The reversal of 6800320800 is 80230086.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63554347 + ... + 63554453.

It is an arithmetic number, because the mean of its divisors is an integer number (34833708).

Almost surely, 2^6800320800 is an apocalyptic number.

6800320800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6800320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048161856).

6800320800 is an abundant number, since it is smaller than the sum of its proper divisors (23296002912).

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

6800320800 is a wasteful number, since it uses less digits than its factorization.

6800320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6800320800 is about 82464.0576251254. The cubic root of 6800320800 is about 1894.5662664181.

Adding to 6800320800 its reverse (80230086), we get a palindrome (6880550886).

The spelling of 6800320800 in words is "six billion, eight hundred million, three hundred twenty thousand, eight hundred".