8730180 has 120 divisors (see below), whose sum is σ = 29089368. Its totient is φ = 2184192.

The previous prime is 8730157. The next prime is 8730181. The reversal of 8730180 is 810378.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 8398404 = 576^2 + 2898^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8730181) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27382 + ... + 27698.

Almost surely, 2^8730180 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 8730180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544684).

8730180 is an abundant number, since it is smaller than the sum of its proper divisors (20359188).

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

8730180 is a wasteful number, since it uses less digits than its factorization.

8730180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8730180 is about 2954.6878007668. The cubic root of 8730180 is about 205.9085590331.

The spelling of 8730180 in words is "eight million, seven hundred thirty thousand, one hundred eighty".