8816080 has 120 divisors (see below), whose sum is σ = 25826472. Its totient is φ = 2774016.

The previous prime is 8816063. The next prime is 8816083. The reversal of 8816080 is 806188.

8816080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 7683984 = 1064^2 + 2772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8816083) 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, 50874 + ... + 51046.

Almost surely, 2^8816080 is an apocalyptic number.

8816080 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 8816080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913236).

8816080 is an abundant number, since it is smaller than the sum of its proper divisors (17010392).

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

8816080 is a wasteful number, since it uses less digits than its factorization.

8816080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 8816080 is about 2969.1884413085. The cubic root of 8816080 is about 206.5816970622.

The spelling of 8816080 in words is "eight million, eight hundred sixteen thousand, eighty".