78326066165760 has 1728 divisors, whose sum is σ = 339494909644800. Its totient is φ = 16599108943872.

The previous prime is 78326066165747. The next prime is 78326066165777. The reversal of 78326066165760 is 6756166062387.

78326066165760 is a `hidden beast` number, since 7 + 8 + 3 + 2 + 6 + 0 + 6 + 616 + 5 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×78326066165760² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4032635409 + ... + 4032654831.

It is an arithmetic number, because the mean of its divisors is an integer number (196466961600).

Almost surely, 2^{78326066165760} is an apocalyptic number.

78326066165760 is a gapful number since it is divisible by the number (70) 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 78326066165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169747454822400).

78326066165760 is an abundant number, since it is smaller than the sum of its proper divisors (261168843479040).

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

78326066165760 is a wasteful number, since it uses less digits than its factorization.

78326066165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19536 (or 19506 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 78326066165760 in words is "seventy-eight trillion, three hundred twenty-six billion, sixty-six million, one hundred sixty-five thousand, seven hundred sixty".