8817768960 has 1280 divisors, whose sum is σ = 40125431808. Its totient is φ = 1592524800.

The previous prime is 8817768931. The next prime is 8817768983. The reversal of 8817768960 is 698677188.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8817768894 and 8817768903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238318062 + ... + 238318098.

Almost surely, 2^8817768960 is an apocalyptic number.

8817768960 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 8817768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062715904).

8817768960 is an abundant number, since it is smaller than the sum of its proper divisors (31307662848).

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

8817768960 is a wasteful number, since it uses less digits than its factorization.

8817768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The square root of 8817768960 is about 93902.9763106580. The cubic root of 8817768960 is about 2065.9488833488.

It can be divided in two parts, 8817 and 768960, that added together give a palindrome (777777).

The spelling of 8817768960 in words is "eight billion, eight hundred seventeen million, seven hundred sixty-eight thousand, nine hundred sixty".