8678780878768 has 320 divisors, whose sum is σ = 22792411192320. Its totient is φ = 3117284628480.

The previous prime is 8678780878741. The next prime is 8678780878793.

8678780878768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835223028 + ... + 1835227756.

It is an arithmetic number, because the mean of its divisors is an integer number (71226284976).

Almost surely, 2^{8678780878768} is an apocalyptic number.

8678780878768 is a gapful number since it is divisible by the number (88) 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 8678780878768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396205596160).

8678780878768 is an abundant number, since it is smaller than the sum of its proper divisors (14113630313552).

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

8678780878768 is a wasteful number, since it uses less digits than its factorization.

8678780878768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 22658678784, while the sum is 88.

The spelling of 8678780878768 in words is "eight trillion, six hundred seventy-eight billion, seven hundred eighty million, eight hundred seventy-eight thousand, seven hundred sixty-eight".