6800200 has 72 divisors (see below), whose sum is σ = 17440290. Its totient is φ = 2464000.

The previous prime is 6800179. The next prime is 6800201. The reversal of 6800200 is 20086.

6800200 = T₆₄ + T₆₅ + ... + T₃₄₄.

It can be written as a sum of positive squares in 3 ways, for example, as 5541316 + 1258884 = 2354^2 + 1122^2 .

It is not an unprimeable number, because it can be changed into a prime (6800201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24060 + ... + 24340.

Almost surely, 2^6800200 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 6800200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8720145).

6800200 is an abundant number, since it is smaller than the sum of its proper divisors (10640090).

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

6800200 is a wasteful number, since it uses less digits than its factorization.

6800200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6800200 is about 2607.7193100485. The cubic root of 6800200 is about 189.4555048077.

Adding to 6800200 its reverse (20086), we get a palindrome (6820286).

The spelling of 6800200 in words is "six million, eight hundred thousand, two hundred".