8879760 has 80 divisors (see below), whose sum is σ = 30593280. Its totient is φ = 2367360.

The previous prime is 8879753. The next prime is 8879777. The reversal of 8879760 is 679788.

8879760 is digitally balanced in base 2 and base 4, because in such bases 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 Harshad number since it is a multiple of its sum of digits (45).

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, 105 + ... + 4215.

It is an arithmetic number, because the mean of its divisors is an integer number (382416).

Almost surely, 2^8879760 is an apocalyptic number.

8879760 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 8879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296640).

8879760 is an abundant number, since it is smaller than the sum of its proper divisors (21713520).

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

8879760 is a wasteful number, since it uses less digits than its factorization.

8879760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8879760 is about 2979.8926155149. The cubic root of 8879760 is about 207.0778954894.

The spelling of 8879760 in words is "eight million, eight hundred seventy-nine thousand, seven hundred sixty".