78239607264 has 576 divisors, whose sum is σ = 289446151680. Its totient is φ = 20120555520.

The previous prime is 78239607227. The next prime is 78239607283. The reversal of 78239607264 is 46270693287.

78239607264 is a `hidden beast` number, since 7 + 8 + 2 + 3 + 9 + 607 + 26 + 4 = 666.

It is a super-2 number, since 2×78239607264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 78239607264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41905659 + ... + 41907525.

It is an arithmetic number, because the mean of its divisors is an integer number (502510680).

Almost surely, 2^78239607264 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 78239607264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144723075840).

78239607264 is an abundant number, since it is smaller than the sum of its proper divisors (211206544416).

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

78239607264 is a wasteful number, since it uses less digits than its factorization.

78239607264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 78239607264 in words is "seventy-eight billion, two hundred thirty-nine million, six hundred seven thousand, two hundred sixty-four".