78889418760 has 256 divisors, whose sum is σ = 249698304000. Its totient is φ = 19912780800.

The previous prime is 78889418719. The next prime is 78889418779. The reversal of 78889418760 is 6781498887.

It is a junction number, because it is equal to n+sod(n) for n = 78889418691 and 78889418700.

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, 45156207 + ... + 45157953.

It is an arithmetic number, because the mean of its divisors is an integer number (975384000).

Almost surely, 2^78889418760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78889418760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124849152000).

78889418760 is an abundant number, since it is smaller than the sum of its proper divisors (170808885240).

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

78889418760 is a wasteful number, since it uses less digits than its factorization.

78889418760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 66.

The spelling of 78889418760 in words is "seventy-eight billion, eight hundred eighty-nine million, four hundred eighteen thousand, seven hundred sixty".