78827360447232 has 1728 divisors, whose sum is σ = 263508801454080. Its totient is φ = 23416050696192.

The previous prime is 78827360447183. The next prime is 78827360447263. The reversal of 78827360447232 is 23274406372887.

78827360447232 is a `hidden beast` number, since 7 + 8 + 8 + 2 + 73 + 60 + 4 + 472 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 78827360447232.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161863162893 + ... + 161863163379.

It is an arithmetic number, because the mean of its divisors is an integer number (152493519360).

Almost surely, 2^{78827360447232} is an apocalyptic number.

78827360447232 is a gapful number since it is divisible by the number (72) 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 78827360447232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131754400727040).

78827360447232 is an abundant number, since it is smaller than the sum of its proper divisors (184681441006848).

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

78827360447232 is a wasteful number, since it uses less digits than its factorization.

78827360447232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 78827360447232 in words is "seventy-eight trillion, eight hundred twenty-seven billion, three hundred sixty million, four hundred forty-seven thousand, two hundred thirty-two".