9978617800 has 24 divisors (see below), whose sum is σ = 23200286850. Its totient is φ = 3991447040.

The previous prime is 9978617783. The next prime is 9978617849. The reversal of 9978617800 is 87168799.

9978617800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6105547044 + 3873070756 = 78138^2 + 62234^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24946345 + ... + 24946744.

Almost surely, 2^9978617800 is an apocalyptic number.

It is an amenable number.

9978617800 is an abundant number, since it is smaller than the sum of its proper divisors (13221669050).

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

9978617800 is a wasteful number, since it uses less digits than its factorization.

9978617800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49893105 (or 49893096 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 55.

The square root of 9978617800 is about 99893.0317890092. The cubic root of 9978617800 is about 2152.8980424998.

The spelling of 9978617800 in words is "nine billion, nine hundred seventy-eight million, six hundred seventeen thousand, eight hundred".