8120880 has 60 divisors (see below), whose sum is σ = 27275040. Its totient is φ = 2165376.

The previous prime is 8120873. The next prime is 8120887. The reversal of 8120880 is 880218.

It is an interprime number because it is at equal distance from previous prime (8120873) and next prime (8120887).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (8120887) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4920 + ... + 6359.

It is an arithmetic number, because the mean of its divisors is an integer number (454584).

Almost surely, 2^8120880 is an apocalyptic number.

8120880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8120880 is an abundant number, since it is smaller than the sum of its proper divisors (19154160).

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

8120880 is a wasteful number, since it uses less digits than its factorization.

8120880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298 (or 11289 counting only the distinct ones).

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

The square root of 8120880 is about 2849.7157753011. The cubic root of 8120880 is about 201.0023018969.

The spelling of 8120880 in words is "eight million, one hundred twenty thousand, eight hundred eighty".