78727115934720 has 528 divisors, whose sum is σ = 307847914377120. Its totient is φ = 18427242086400.

The previous prime is 78727115934697. The next prime is 78727115934751. The reversal of 78727115934720 is 2743951172787.

78727115934720 is a `hidden beast` number, since 7 + 8 + 7 + 2 + 7 + 1 + 159 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12021640 + ... + 17377400.

Almost surely, 2^{78727115934720} 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 78727115934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153923957188560).

78727115934720 is an abundant number, since it is smaller than the sum of its proper divisors (229120798442400).

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

78727115934720 is a wasteful number, since it uses less digits than its factorization.

78727115934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355832 (or 5355811 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 78727115934720 in words is "seventy-eight trillion, seven hundred twenty-seven billion, one hundred fifteen million, nine hundred thirty-four thousand, seven hundred twenty".