9768400 has 30 divisors (see below), whose sum is σ = 23469542. Its totient is φ = 3907200.

The previous prime is 9768391. The next prime is 9768419. The reversal of 9768400 is 48679.

It can be written as a sum of positive squares in 3 ways, for example, as 183184 + 9585216 = 428^2 + 3096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11811 + ... + 12610.

Almost surely, 2^9768400 is an apocalyptic number.

It is an amenable number.

9768400 is an abundant number, since it is smaller than the sum of its proper divisors (13701142).

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

9768400 is a wasteful number, since it uses less digits than its factorization.

9768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24439 (or 24428 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 9768400 is about 3125.4439684627. The cubic root of 9768400 is about 213.7672375324.

The spelling of 9768400 in words is "nine million, seven hundred sixty-eight thousand, four hundred".