9880735600 has 120 divisors (see below), whose sum is σ = 24904691712. Its totient is φ = 3759993600.

The previous prime is 9880735573. The next prime is 9880735603. The reversal of 9880735600 is 65370889.

9880735600 is a nontrivial binomial coefficient, being equal to C(140576, 2).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9880735603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1754389 + ... + 1760011.

Almost surely, 2^9880735600 is an apocalyptic number.

9880735600 is the 140575-th triangular number and also the 70288-th hexagonal number.

9880735600 is the 46859-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9880735600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452345856).

9880735600 is an abundant number, since it is smaller than the sum of its proper divisors (15023956112).

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

9880735600 is a wasteful number, since it uses less digits than its factorization.

9880735600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 9880735600 is about 99401.8893180608. The cubic root of 9880735600 is about 2145.8355009582.

The spelling of 9880735600 in words is "nine billion, eight hundred eighty million, seven hundred thirty-five thousand, six hundred".