78754935168 has 768 divisors, whose sum is σ = 295123046400. Its totient is φ = 19590709248.

The previous prime is 78754935143. The next prime is 78754935179. The reversal of 78754935168 is 86153945787.

78754935168 is a `hidden beast` number, since 7 + 8 + 75 + 49 + 3 + 516 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (50803200) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214590921 + ... + 214591287.

It is an arithmetic number, because the mean of its divisors is an integer number (384274800).

Almost surely, 2^78754935168 is an apocalyptic number.

78754935168 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78754935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147561523200).

78754935168 is an abundant number, since it is smaller than the sum of its proper divisors (216368111232).

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

78754935168 is a wasteful number, since it uses less digits than its factorization.

78754935168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 78754935168 in words is "seventy-eight billion, seven hundred fifty-four million, nine hundred thirty-five thousand, one hundred sixty-eight".