8768657760 has 96 divisors (see below), whose sum is σ = 27657135072. Its totient is φ = 2335272960.

The previous prime is 8768657743. The next prime is 8768657797. The reversal of 8768657760 is 677568678.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 8768657694 and 8768657703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371100 + ... + 394020.

It is an arithmetic number, because the mean of its divisors is an integer number (288095157).

Almost surely, 2^8768657760 is an apocalyptic number.

8768657760 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 8768657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828567536).

8768657760 is an abundant number, since it is smaller than the sum of its proper divisors (18888477312).

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

8768657760 is a wasteful number, since it uses less digits than its factorization.

8768657760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23736 (or 23728 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 60.

The square root of 8768657760 is about 93641.1114842194. Note that the first 3 decimals coincide. The cubic root of 8768657760 is about 2062.1062568112.

The spelling of 8768657760 in words is "eight billion, seven hundred sixty-eight million, six hundred fifty-seven thousand, seven hundred sixty".