78068538240 has 1024 divisors, whose sum is σ = 325721088000. Its totient is φ = 15431270400.

The previous prime is 78068538193. The next prime is 78068538257. The reversal of 78068538240 is 4283586087.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 561644091 + ... + 561644229.

It is an arithmetic number, because the mean of its divisors is an integer number (318087000).

Almost surely, 2^78068538240 is an apocalyptic number.

78068538240 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 78068538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162860544000).

78068538240 is an abundant number, since it is smaller than the sum of its proper divisors (247652549760).

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

78068538240 is a wasteful number, since it uses less digits than its factorization.

78068538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 78068538240 in words is "seventy-eight billion, sixty-eight million, five hundred thirty-eight thousand, two hundred forty".