8730880 has 72 divisors (see below), whose sum is σ = 22075200. Its totient is φ = 3299328.

The previous prime is 8730863. The next prime is 8730881. The reversal of 8730880 is 880378.

8730880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8730881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24141 + ... + 24499.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 2^8730880 is an apocalyptic number.

8730880 is a gapful number since it is divisible by the number (80) 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 8730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037600).

8730880 is an abundant number, since it is smaller than the sum of its proper divisors (13344320).

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

8730880 is a wasteful number, since it uses less digits than its factorization.

8730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 8730880 is about 2954.8062542238. The cubic root of 8730880 is about 205.9140622468.

The spelling of 8730880 in words is "eight million, seven hundred thirty thousand, eight hundred eighty".