6328800 has 144 divisors (see below), whose sum is σ = 22967280. Its totient is φ = 1681920.

The previous prime is 6328793. The next prime is 6328831. The reversal of 6328800 is 88236.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21454 + ... + 21746.

It is an arithmetic number, because the mean of its divisors is an integer number (159495).

Almost surely, 2^6328800 is an apocalyptic number.

6328800 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 6328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483640).

6328800 is an abundant number, since it is smaller than the sum of its proper divisors (16638480).

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

6328800 is a wasteful number, since it uses less digits than its factorization.

6328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

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

The square root of 6328800 is about 2515.7106351884. The cubic root of 6328800 is about 184.9724819065.

The spelling of 6328800 in words is "six million, three hundred twenty-eight thousand, eight hundred".