8107680 has 192 divisors, whose sum is σ = 30965760. Its totient is φ = 1741824.

The previous prime is 8107679. The next prime is 8107717. The reversal of 8107680 is 867018.

8107680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

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 31 ways as a sum of consecutive naturals, for example, 63777 + ... + 63903.

It is an arithmetic number, because the mean of its divisors is an integer number (161280).

Almost surely, 2^8107680 is an apocalyptic number.

8107680 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 8107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

8107680 is an abundant number, since it is smaller than the sum of its proper divisors (22858080).

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

8107680 is a wasteful number, since it uses less digits than its factorization.

8107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 8107680 is about 2847.3988129519. The cubic root of 8107680 is about 200.8933371361.

The spelling of 8107680 in words is "eight million, one hundred seven thousand, six hundred eighty".