8576880 has 80 divisors (see below), whose sum is σ = 28644000. Its totient is φ = 2110464.

The previous prime is 8576873. The next prime is 8576903. The reversal of 8576880 is 886758.

It is a happy number.

8576880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1746 + ... + 4494.

It is an arithmetic number, because the mean of its divisors is an integer number (358050).

Almost surely, 2^8576880 is an apocalyptic number.

8576880 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 8576880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322000).

8576880 is an abundant number, since it is smaller than the sum of its proper divisors (20067120).

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

8576880 is a wasteful number, since it uses less digits than its factorization.

8576880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 8576880 is about 2928.6310795319. The cubic root of 8576880 is about 204.6961988223.

The spelling of 8576880 in words is "eight million, five hundred seventy-six thousand, eight hundred eighty".