9768280200 has 192 divisors, whose sum is σ = 34681589760. Its totient is φ = 2227979520.

The previous prime is 9768280187. The next prime is 9768280229. The reversal of 9768280200 is 20828679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2194377 + ... + 2198823.

It is an arithmetic number, because the mean of its divisors is an integer number (180633280).

Almost surely, 2^9768280200 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 9768280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340794880).

9768280200 is an abundant number, since it is smaller than the sum of its proper divisors (24913309560).

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

9768280200 is a wasteful number, since it uses less digits than its factorization.

9768280200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 9768280200 is about 98834.6103346394. The cubic root of 9768280200 is about 2137.6636364585.

The spelling of 9768280200 in words is "nine billion, seven hundred sixty-eight million, two hundred eighty thousand, two hundred".