8280180 has 72 divisors (see below), whose sum is σ = 25362792. Its totient is φ = 2186496.

The previous prime is 8280179. The next prime is 8280187. The reversal of 8280180 is 810828.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 6441444 = 1356^2 + 2538^2 .

It is a super-2 number, since 2×8280180² = 137122761664800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8280187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28114 + ... + 28406.

It is an arithmetic number, because the mean of its divisors is an integer number (352261).

Almost surely, 2^8280180 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 8280180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12681396).

8280180 is an abundant number, since it is smaller than the sum of its proper divisors (17082612).

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

8280180 is a wasteful number, since it uses less digits than its factorization.

8280180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8280180 is about 2877.5301909798. The cubic root of 8280180 is about 202.3080943693.

The spelling of 8280180 in words is "eight million, two hundred eighty thousand, one hundred eighty".