7830180 has 72 divisors (see below), whose sum is σ = 24353784. Its totient is φ = 2035200.

The previous prime is 7830169. The next prime is 7830187. The reversal of 7830180 is 810387.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 7717284 = 336^2 + 2778^2 .

It is a super-2 number, since 2×7830180² = 122623437664800, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7830187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6850 + ... + 7910.

It is an arithmetic number, because the mean of its divisors is an integer number (338247).

Almost surely, 2^7830180 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 7830180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12176892).

7830180 is an abundant number, since it is smaller than the sum of its proper divisors (16523604).

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

7830180 is a wasteful number, since it uses less digits than its factorization.

7830180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1112 counting only the distinct ones).

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

The square root of 7830180 is about 2798.2458791178. The cubic root of 7830180 is about 198.5747000627.

The spelling of 7830180 in words is "seven million, eight hundred thirty thousand, one hundred eighty".