78846680260800 has 1008 divisors, whose sum is σ = 293759352007680. Its totient is φ = 20037455585280.

The previous prime is 78846680260709. The next prime is 78846680260807. The reversal of 78846680260800 is 806208664887.

78846680260800 is a `hidden beast` number, since 78 + 8 + 466 + 8 + 0 + 26 + 0 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (78846680260807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8896157169 + ... + 8896166031.

Almost surely, 2^{78846680260800} 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 78846680260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146879676003840).

78846680260800 is an abundant number, since it is smaller than the sum of its proper divisors (214912671746880).

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

78846680260800 is a wasteful number, since it uses less digits than its factorization.

78846680260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9270 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 78846680260800 in words is "seventy-eight trillion, eight hundred forty-six billion, six hundred eighty million, two hundred sixty thousand, eight hundred".