9722600800 has 144 divisors (see below), whose sum is σ = 25945339392. Its totient is φ = 3528358400.

The previous prime is 9722600791. The next prime is 9722600807. The reversal of 9722600800 is 80062279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9722600807) 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 23 ways as a sum of consecutive naturals, for example, 6537657 + ... + 6539143.

It is an arithmetic number, because the mean of its divisors is an integer number (180175968).

Almost surely, 2^9722600800 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 9722600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972669696).

9722600800 is an abundant number, since it is smaller than the sum of its proper divisors (16222738592).

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

9722600800 is a wasteful number, since it uses less digits than its factorization.

9722600800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2248 counting only the distinct ones).

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

The square root of 9722600800 is about 98603.2494393567. The cubic root of 9722600800 is about 2134.3263107423.

The spelling of 9722600800 in words is "nine billion, seven hundred twenty-two million, six hundred thousand, eight hundred".