9790080 has 64 divisors (see below), whose sum is σ = 31212000. Its totient is φ = 2610176.

The previous prime is 9790069. The next prime is 9790091. The reversal of 9790080 is 800979.

It is an interprime number because it is at equal distance from previous prime (9790069) and next prime (9790091).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630 + ... + 4469.

Almost surely, 2^9790080 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 9790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15606000).

9790080 is an abundant number, since it is smaller than the sum of its proper divisors (21421920).

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

9790080 is a wasteful number, since it uses less digits than its factorization.

9790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 9790080 is about 3128.9103534617. The cubic root of 9790080 is about 213.9252657781.

The spelling of 9790080 in words is "nine million, seven hundred ninety thousand, eighty".