78558768 has 160 divisors (see below), whose sum is σ = 251769600. Its totient is φ = 23307264.

The previous prime is 78558719. The next prime is 78558793. The reversal of 78558768 is 86785587.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 139255 + ... + 139817.

It is an arithmetic number, because the mean of its divisors is an integer number (1573560).

Almost surely, 2^78558768 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 78558768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125884800).

78558768 is an abundant number, since it is smaller than the sum of its proper divisors (173210832).

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

78558768 is a wasteful number, since it uses less digits than its factorization.

78558768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The square root of 78558768 is about 8863.3384229646. The cubic root of 78558768 is about 428.2837085977.

The spelling of 78558768 in words is "seventy-eight million, five hundred fifty-eight thousand, seven hundred sixty-eight".