78688895580 has 288 divisors, whose sum is σ = 260947814400. Its totient is φ = 19681273728.

The previous prime is 78688895569. The next prime is 78688895609. The reversal of 78688895580 is 8559888687.

It is a happy number.

78688895580 is a `hidden beast` number, since 7 + 8 + 68 + 8 + 8 + 9 + 558 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 78688895499 and 78688895508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20076861 + ... + 20080779.

It is an arithmetic number, because the mean of its divisors is an integer number (906068800).

Almost surely, 2^78688895580 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 78688895580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130473907200).

78688895580 is an abundant number, since it is smaller than the sum of its proper divisors (182258918820).

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

78688895580 is a wasteful number, since it uses less digits than its factorization.

78688895580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 72.

The spelling of 78688895580 in words is "seventy-eight billion, six hundred eighty-eight million, eight hundred ninety-five thousand, five hundred eighty".