78271199330688 has 2560 divisors, whose sum is σ = 306871488000000. Its totient is φ = 19652205920256.

The previous prime is 78271199330647. The next prime is 78271199330719. The reversal of 78271199330688 is 88603399117287.

78271199330688 is a `hidden beast` number, since 7 + 8 + 27 + 1 + 199 + 330 + 6 + 88 = 666.

It is a super-3 number, since 3×78271199330688³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 105915019023 + ... + 105915019761.

It is an arithmetic number, because the mean of its divisors is an integer number (119871675000).

Almost surely, 2^{78271199330688} is an apocalyptic number.

78271199330688 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 78271199330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153435744000000).

78271199330688 is an abundant number, since it is smaller than the sum of its proper divisors (228600288669312).

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

78271199330688 is a wasteful number, since it uses less digits than its factorization.

78271199330688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 78271199330688 in words is "seventy-eight trillion, two hundred seventy-one billion, one hundred ninety-nine million, three hundred thirty thousand, six hundred eighty-eight".