78961460688 has 600 divisors, whose sum is σ = 268219306080. Its totient is φ = 22232517120.

The previous prime is 78961460629. The next prime is 78961460689. The reversal of 78961460688 is 88606416987.

78961460688 is a `hidden beast` number, since 7 + 8 + 9 + 6 + 14 + 606 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78961460689) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 344809758 + ... + 344809986.

Almost surely, 2^78961460688 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 78961460688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134109653040).

78961460688 is an abundant number, since it is smaller than the sum of its proper divisors (189257845392).

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

78961460688 is a wasteful number, since it uses less digits than its factorization.

78961460688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 78961460688 in words is "seventy-eight billion, nine hundred sixty-one million, four hundred sixty thousand, six hundred eighty-eight".