8180082176 has 160 divisors (see below), whose sum is σ = 19138775040. Its totient is φ = 3420758016.

The previous prime is 8180082143. The next prime is 8180082187. The reversal of 8180082176 is 6712800818.

It is a super-2 number, since 2×8180082176² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47283626 + ... + 47283798.

It is an arithmetic number, because the mean of its divisors is an integer number (119617344).

Almost surely, 2^8180082176 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 8180082176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569387520).

8180082176 is an abundant number, since it is smaller than the sum of its proper divisors (10958692864).

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

8180082176 is a wasteful number, since it uses less digits than its factorization.

8180082176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 41.

The square root of 8180082176 is about 90443.8067310305. The cubic root of 8180082176 is about 2014.8956326440.

The spelling of 8180082176 in words is "eight billion, one hundred eighty million, eighty-two thousand, one hundred seventy-six".