78350727168 has 864 divisors, whose sum is σ = 290152044000. Its totient is φ = 21069103104.

The previous prime is 78350727137. The next prime is 78350727187. The reversal of 78350727168 is 86172705387.

78350727168 is a `hidden beast` number, since 7 + 8 + 3 + 507 + 2 + 71 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×78350727168² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4608866296 + ... + 4608866312.

It is an arithmetic number, because the mean of its divisors is an integer number (335824125).

Almost surely, 2^78350727168 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 78350727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145076022000).

78350727168 is an abundant number, since it is smaller than the sum of its proper divisors (211801316832).

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

78350727168 is an frugal number, since it uses more digits than its factorization.

78350727168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 78350727168 in words is "seventy-eight billion, three hundred fifty million, seven hundred twenty-seven thousand, one hundred sixty-eight".