8760880 has 40 divisors (see below), whose sum is σ = 20873664. Its totient is φ = 3417600.

The previous prime is 8760877. The next prime is 8760883. The reversal of 8760880 is 880678.

It is an interprime number because it is at equal distance from previous prime (8760877) and next prime (8760883).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (8760883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1945 + ... + 4615.

Almost surely, 2^8760880 is an apocalyptic number.

8760880 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 8760880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10436832).

8760880 is an abundant number, since it is smaller than the sum of its proper divisors (12112784).

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

8760880 is a wasteful number, since it uses less digits than its factorization.

8760880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 8760880 is about 2959.8783758797. The cubic root of 8760880 is about 206.1496383465.

The spelling of 8760880 in words is "eight million, seven hundred sixty thousand, eight hundred eighty".