8768880 has 120 divisors (see below), whose sum is σ = 31047120. Its totient is φ = 2211840.

The previous prime is 8768843. The next prime is 8768887. The reversal of 8768880 is 888678.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13360 + ... + 14000.

It is an arithmetic number, because the mean of its divisors is an integer number (258726).

Almost surely, 2^8768880 is an apocalyptic number.

8768880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8768880 is the 1710-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8768880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523560).

8768880 is an abundant number, since it is smaller than the sum of its proper divisors (22278240).

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

8768880 is a wasteful number, since it uses less digits than its factorization.

8768880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8768880 is about 2961.2294743907. The cubic root of 8768880 is about 206.2123677897.

The spelling of 8768880 in words is "eight million, seven hundred sixty-eight thousand, eight hundred eighty".