9790917120 has 240 divisors, whose sum is σ = 35166811680. Its totient is φ = 2610745344.

The previous prime is 9790917109. The next prime is 9790917133. The reversal of 9790917120 is 217190979.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614211 + ... + 629949.

It is an arithmetic number, because the mean of its divisors is an integer number (146528382).

Almost surely, 2^9790917120 is an apocalyptic number.

9790917120 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 9790917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583405840).

9790917120 is an abundant number, since it is smaller than the sum of its proper divisors (25375894560).

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

9790917120 is an equidigital number, since it uses as much as digits as its factorization.

9790917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15777 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 45.

The square root of 9790917120 is about 98949.0632598409. The cubic root of 9790917120 is about 2139.3136297082.

The spelling of 9790917120 in words is "nine billion, seven hundred ninety million, nine hundred seventeen thousand, one hundred twenty".