78268782595680 has 768 divisors, whose sum is σ = 295146415872000. Its totient is φ = 19299505471488.

The previous prime is 78268782595669. The next prime is 78268782595687. The reversal of 78268782595680 is 8659528786287.

It is a happy number.

78268782595680 is a `hidden beast` number, since 7 + 8 + 26 + 8 + 7 + 8 + 25 + 9 + 568 + 0 = 666.

It is a super-2 number, since 2×78268782595680² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78268782595680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78268782595687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9051549117 + ... + 9051557763.

It is an arithmetic number, because the mean of its divisors is an integer number (384305229000).

Almost surely, 2^{78268782595680} 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 78268782595680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147573207936000).

78268782595680 is an abundant number, since it is smaller than the sum of its proper divisors (216877633276320).

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

78268782595680 is a wasteful number, since it uses less digits than its factorization.

78268782595680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 10822 counting only the distinct ones).

The product of its (nonzero) digits is 6502809600, while the sum is 81.

The spelling of 78268782595680 in words is "seventy-eight trillion, two hundred sixty-eight billion, seven hundred eighty-two million, five hundred ninety-five thousand, six hundred eighty".