78705371264 has 192 divisors, whose sum is σ = 176350394880. Its totient is φ = 34936012800.

The previous prime is 78705371179. The next prime is 78705371281. The reversal of 78705371264 is 46217350787.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161612429 + ... + 161612915.

It is an arithmetic number, because the mean of its divisors is an integer number (918491640).

Almost surely, 2^78705371264 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 78705371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88175197440).

78705371264 is an abundant number, since it is smaller than the sum of its proper divisors (97645023616).

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

78705371264 is a wasteful number, since it uses less digits than its factorization.

78705371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 78705371264 in words is "seventy-eight billion, seven hundred five million, three hundred seventy-one thousand, two hundred sixty-four".