8182080 has 112 divisors (see below), whose sum is σ = 28895040. Its totient is φ = 2179584.

The previous prime is 8182073. The next prime is 8182081. The reversal of 8182080 is 802818.

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 (8182081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8167 + ... + 9113.

Almost surely, 2^8182080 is an apocalyptic number.

8182080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447520).

8182080 is an abundant number, since it is smaller than the sum of its proper divisors (20712960).

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

8182080 is a wasteful number, since it uses less digits than its factorization.

8182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

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

The square root of 8182080 is about 2860.4335335749. The cubic root of 8182080 is about 201.5059652153.

Adding to 8182080 its reverse (802818), we get a palindrome (8984898).

The spelling of 8182080 in words is "eight million, one hundred eighty-two thousand, eighty".