9990766800 has 1200 divisors, whose sum is σ = 44651904000. Its totient is φ = 2133734400.

The previous prime is 9990766777. The next prime is 9990766813. The reversal of 9990766800 is 86670999.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 322282785 + ... + 322282815.

It is an arithmetic number, because the mean of its divisors is an integer number (37209920).

Almost surely, 2^9990766800 is an apocalyptic number.

9990766800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325952000).

9990766800 is an abundant number, since it is smaller than the sum of its proper divisors (34661137200).

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

9990766800 is a wasteful number, since it uses less digits than its factorization.

9990766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9990766800 is about 99953.8233385797. The cubic root of 9990766800 is about 2153.7714083035.

The spelling of 9990766800 in words is "nine billion, nine hundred ninety million, seven hundred sixty-six thousand, eight hundred".