6822800 has 60 divisors (see below), whose sum is σ = 16871316. Its totient is φ = 2649600.

The previous prime is 6822793. The next prime is 6822817. The reversal of 6822800 is 82286.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 6822544 = 16^2 + 2612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6822800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14570 + ... + 15030.

Almost surely, 2^6822800 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 6822800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8435658).

6822800 is an abundant number, since it is smaller than the sum of its proper divisors (10048516).

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

6822800 is a wasteful number, since it uses less digits than its factorization.

6822800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 6822800 is about 2612.0490041345. The cubic root of 6822800 is about 189.6651535357.

The spelling of 6822800 in words is "six million, eight hundred twenty-two thousand, eight hundred".