6600800 has 72 divisors (see below), whose sum is σ = 16623936. Its totient is φ = 2557440.

The previous prime is 6600791. The next prime is 6600823. The reversal of 6600800 is 80066.

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

It is a congruent number.

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, 29489 + ... + 29711.

It is an arithmetic number, because the mean of its divisors is an integer number (230888).

Almost surely, 2^6600800 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 6600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311968).

6600800 is an abundant number, since it is smaller than the sum of its proper divisors (10023136).

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

6600800 is a wasteful number, since it uses less digits than its factorization.

6600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6600800 is about 2569.2022108040. The cubic root of 6600800 is about 187.5853241293.

Adding to 6600800 its reverse (80066), we get a palindrome (6680866).

The spelling of 6600800 in words is "six million, six hundred thousand, eight hundred".