78500247168 has 128 divisors (see below), whose sum is σ = 240124515840. Its totient is φ = 22257331200.

The previous prime is 78500247151. The next prime is 78500247187. The reversal of 78500247168 is 86174200587.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×78500247168³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240663 + ... + 463593.

It is an arithmetic number, because the mean of its divisors is an integer number (1875972780).

Almost surely, 2^78500247168 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 78500247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120062257920).

78500247168 is an abundant number, since it is smaller than the sum of its proper divisors (161624268672).

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

78500247168 is a wasteful number, since it uses less digits than its factorization.

78500247168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223086 (or 223074 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 78500247168 in words is "seventy-eight billion, five hundred million, two hundred forty-seven thousand, one hundred sixty-eight".