6704800 has 108 divisors (see below), whose sum is σ = 17987130. Its totient is φ = 2437120.

The previous prime is 6704791. The next prime is 6704801. The reversal of 6704800 is 84076.

It can be written as a sum of positive squares in 9 ways, for example, as 1882384 + 4822416 = 1372^2 + 2196^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6704801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 231186 + ... + 231214.

Almost surely, 2^6704800 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 6704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993565).

6704800 is an abundant number, since it is smaller than the sum of its proper divisors (11282330).

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

6704800 is a wasteful number, since it uses less digits than its factorization.

6704800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 6704800 is about 2589.3628559937. The cubic root of 6704800 is about 188.5653721436.

Adding to 6704800 its reverse (84076), we get a palindrome (6788876).

The spelling of 6704800 in words is "six million, seven hundred four thousand, eight hundred".