78795905760 has 1920 divisors, whose sum is σ = 360163698048. Its totient is φ = 15925248000.

The previous prime is 78795905753. The next prime is 78795905807. The reversal of 78795905760 is 6750959787.

78795905760 is a `hidden beast` number, since 7 + 8 + 7 + 9 + 59 + 0 + 576 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1291736130 + ... + 1291736190.

Almost surely, 2^78795905760 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 78795905760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180081849024).

78795905760 is an abundant number, since it is smaller than the sum of its proper divisors (281367792288).

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

78795905760 is a wasteful number, since it uses less digits than its factorization.

78795905760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 78795905760 in words is "seventy-eight billion, seven hundred ninety-five million, nine hundred five thousand, seven hundred sixty".