8730 has 24 divisors (see below), whose sum is σ = 22932. Its totient is φ = 2304.

The previous prime is 8719. The next prime is 8731. The reversal of 8730 is 378.

It can be written as a sum of positive squares in 2 ways, for example, as 8649 + 81 = 93^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 138.

2⁸⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466).

8730 is an abundant number, since it is smaller than the sum of its proper divisors (14202).

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

8730 is a wasteful number, since it uses less digits than its factorization.

8730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 8730 is about 93.4344690144. The cubic root of 8730 is about 20.5907143873.

The spelling of 8730 in words is "eight thousand, seven hundred thirty".