9768200 has 108 divisors (see below), whose sum is σ = 26124165. Its totient is φ = 3394560.

The previous prime is 9768173. The next prime is 9768233. The reversal of 9768200 is 28679.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 538756 + 9229444 = 734^2 + 3038^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2210.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 574592 + ... + 574608.

Almost surely, 2^9768200 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 9768200

9768200 is an abundant number, since it is smaller than the sum of its proper divisors (16355965).

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

9768200 is a wasteful number, since it uses less digits than its factorization.

9768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 9768200 is about 3125.4119728445. The cubic root of 9768200 is about 213.7657786193.

Multiplying 9768200 by its sum of digits (32), we get a square (312582400 = 17680²).

The spelling of 9768200 in words is "nine million, seven hundred sixty-eight thousand, two hundred".