8742880 has 48 divisors (see below), whose sum is σ = 21065184. Its totient is φ = 3427840.

The previous prime is 8742857. The next prime is 8742887. The reversal of 8742880 is 882478.

8742880 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8742887) 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 7 ways as a sum of consecutive naturals, for example, 7965 + ... + 8995.

It is an arithmetic number, because the mean of its divisors is an integer number (438858).

Almost surely, 2^8742880 is an apocalyptic number.

8742880 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 8742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532592).

8742880 is an abundant number, since it is smaller than the sum of its proper divisors (12322304).

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

8742880 is a wasteful number, since it uses less digits than its factorization.

8742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 8742880 is about 2956.8361469652. The cubic root of 8742880 is about 206.0083573447.

The spelling of 8742880 in words is "eight million, seven hundred forty-two thousand, eight hundred eighty".