9768776800 has 36 divisors (see below), whose sum is σ = 23848028316. Its totient is φ = 3907510400.

The previous prime is 9768776791. The next prime is 9768776803. The reversal of 9768776800 is 86778679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9768776803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6104686 + ... + 6106285.

It is an arithmetic number, because the mean of its divisors is an integer number (662445231).

Almost surely, 2^9768776800 is an apocalyptic number.

It is an amenable number.

9768776800 is an abundant number, since it is smaller than the sum of its proper divisors (14079251516).

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

9768776800 is a wasteful number, since it uses less digits than its factorization.

9768776800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210991 (or 12210978 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 58.

The square root of 9768776800 is about 98837.1225805365. The cubic root of 9768776800 is about 2137.6998607051.

The spelling of 9768776800 in words is "nine billion, seven hundred sixty-eight million, seven hundred seventy-six thousand, eight hundred".