8782815120 has 80 divisors (see below), whose sum is σ = 27295604160. Its totient is φ = 2336159232.

The previous prime is 8782815089. The next prime is 8782815137. The reversal of 8782815120 is 215182878.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8782815120² (a number of 21 digits) contains 22 as substring.

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, 49191 + ... + 141369.

It is an arithmetic number, because the mean of its divisors is an integer number (341195052).

Almost surely, 2^8782815120 is an apocalyptic number.

8782815120 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 8782815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13647802080).

8782815120 is an abundant number, since it is smaller than the sum of its proper divisors (18512789040).

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

8782815120 is a wasteful number, since it uses less digits than its factorization.

8782815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92592 (or 92586 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The square root of 8782815120 is about 93716.6747169360. The cubic root of 8782815120 is about 2063.2154453128.

Adding to 8782815120 its reverse (215182878), we get a palindrome (8997997998).

The spelling of 8782815120 in words is "eight billion, seven hundred eighty-two million, eight hundred fifteen thousand, one hundred twenty".