9280797120 has 336 divisors, whose sum is σ = 37032273408. Its totient is φ = 2089359360.

The previous prime is 9280797103. The next prime is 9280797157. The reversal of 9280797120 is 217970829.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×9280797120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1347285 + ... + 1354155.

Almost surely, 2^9280797120 is an apocalyptic number.

9280797120 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 9280797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18516136704).

9280797120 is an abundant number, since it is smaller than the sum of its proper divisors (27751476288).

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

9280797120 is a wasteful number, since it uses less digits than its factorization.

9280797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 9280797120 is about 96336.8938673030. The cubic root of 9280797120 is about 2101.4953159521.

The spelling of 9280797120 in words is "nine billion, two hundred eighty million, seven hundred ninety-seven thousand, one hundred twenty".