8882720 has 144 divisors (see below), whose sum is σ = 26889408. Its totient is φ = 2741760.

The previous prime is 8882711. The next prime is 8882749. The reversal of 8882720 is 272888.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86189 + ... + 86291.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 2^8882720 is an apocalyptic number.

8882720 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 8882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704).

8882720 is an abundant number, since it is smaller than the sum of its proper divisors (18006688).

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

8882720 is a wasteful number, since it uses less digits than its factorization.

8882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 8882720 is about 2980.3892363247. The cubic root of 8882720 is about 207.1009022102.

The spelling of 8882720 in words is "eight million, eight hundred eighty-two thousand, seven hundred twenty".