78079664 has 80 divisors (see below), whose sum is σ = 179155200. Its totient is φ = 32617728.

The previous prime is 78079637. The next prime is 78079679. The reversal of 78079664 is 46697087.

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 15 ways as a sum of consecutive naturals, for example, 90467 + ... + 91325.

It is an arithmetic number, because the mean of its divisors is an integer number (2239440).

Almost surely, 2^78079664 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 78079664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89577600).

78079664 is an abundant number, since it is smaller than the sum of its proper divisors (101075536).

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

78079664 is a wasteful number, since it uses less digits than its factorization.

78079664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 78079664 is about 8836.2698012227. The cubic root of 78079664 is about 427.4112789678.

It can be divided in two parts, 7807 and 9664, that added together give a palindrome (17471).

The spelling of 78079664 in words is "seventy-eight million, seventy-nine thousand, six hundred sixty-four".