78642935728 has 160 divisors (see below), whose sum is σ = 182905257600. Its totient is φ = 32728550400.

The previous prime is 78642935711. The next prime is 78642935779. The reversal of 78642935728 is 82753924687.

It is a super-2 number, since 2×78642935728² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29375926 + ... + 29378602.

It is an arithmetic number, because the mean of its divisors is an integer number (1143157860).

Almost surely, 2^78642935728 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 78642935728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91452628800).

78642935728 is an abundant number, since it is smaller than the sum of its proper divisors (104262321872).

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

78642935728 is a wasteful number, since it uses less digits than its factorization.

78642935728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2840 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 61.

The spelling of 78642935728 in words is "seventy-eight billion, six hundred forty-two million, nine hundred thirty-five thousand, seven hundred twenty-eight".