6330800 has 180 divisors, whose sum is σ = 19719720. Its totient is φ = 1935360.

The previous prime is 6330799. The next prime is 6330809. The reversal of 6330800 is 80336.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6330809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333191 + ... + 333209.

It is an arithmetic number, because the mean of its divisors is an integer number (109554).

Almost surely, 2^6330800 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 6330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9859860).

6330800 is an abundant number, since it is smaller than the sum of its proper divisors (13388920).

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

6330800 is a wasteful number, since it uses less digits than its factorization.

6330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 6330800 is about 2516.1081057856. The cubic root of 6330800 is about 184.9919645889.

The spelling of 6330800 in words is "six million, three hundred thirty thousand, eight hundred".