6832800 has 216 divisors, whose sum is σ = 26303004. Its totient is φ = 1658880.

The previous prime is 6832783. The next prime is 6832801. The reversal of 6832800 is 82386.

It can be written as a sum of positive squares in 6 ways, for example, as 1468944 + 5363856 = 1212^2 + 2316^2 .

It is not an unprimeable number, because it can be changed into a prime (6832801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93564 + ... + 93636.

Almost surely, 2^6832800 is an apocalyptic number.

6832800 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 6832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151502).

6832800 is an abundant number, since it is smaller than the sum of its proper divisors (19470204).

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

6832800 is a wasteful number, since it uses less digits than its factorization.

6832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

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

The square root of 6832800 is about 2613.9625092950. The cubic root of 6832800 is about 189.7577707244.

The spelling of 6832800 in words is "six million, eight hundred thirty-two thousand, eight hundred".