8130080 has 144 divisors (see below), whose sum is σ = 24045336. Its totient is φ = 2580480.

The previous prime is 8130077. The next prime is 8130113. The reversal of 8130080 is 800318.

It can be written as a sum of positive squares in 4 ways, for example, as 5400976 + 2729104 = 2324^2 + 1652^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133250 + ... + 133310.

Almost surely, 2^8130080 is an apocalyptic number.

8130080 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 8130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022668).

8130080 is an abundant number, since it is smaller than the sum of its proper divisors (15915256).

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

8130080 is a wasteful number, since it uses less digits than its factorization.

8130080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 8130080 is about 2851.3295144546. The cubic root of 8130080 is about 201.0781772248.

Adding to 8130080 its reverse (800318), we get a palindrome (8930398).

The spelling of 8130080 in words is "eight million, one hundred thirty thousand, eighty".