6822402800 has 60 divisors (see below), whose sum is σ = 16421314296. Its totient is φ = 2723884800.

The previous prime is 6822402757. The next prime is 6822402817. The reversal of 6822402800 is 82042286.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203210 + ... + 234390.

Almost surely, 2^6822402800 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 6822402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210657148).

6822402800 is an abundant number, since it is smaller than the sum of its proper divisors (9598911496).

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

6822402800 is a wasteful number, since it uses less digits than its factorization.

6822402800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31746 (or 31735 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 6822402800 is about 82597.8377440959. The cubic root of 6822402800 is about 1896.6147291283.

The spelling of 6822402800 in words is "six billion, eight hundred twenty-two million, four hundred two thousand, eight hundred".