8768378880 has 144 divisors (see below), whose sum is σ = 30389945040. Its totient is φ = 2338209792.

The previous prime is 8768378873. The next prime is 8768378929. The reversal of 8768378880 is 888738678.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44589 + ... + 139731.

It is an arithmetic number, because the mean of its divisors is an integer number (211041285).

Almost surely, 2^8768378880 is an apocalyptic number.

8768378880 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 8768378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194972520).

8768378880 is an abundant number, since it is smaller than the sum of its proper divisors (21621566160).

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

8768378880 is a wasteful number, since it uses less digits than its factorization.

8768378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95176 (or 95153 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The square root of 8768378880 is about 93639.6223828354. The cubic root of 8768378880 is about 2062.0843953776.

The spelling of 8768378880 in words is "eight billion, seven hundred sixty-eight million, three hundred seventy-eight thousand, eight hundred eighty".