78929268 has 72 divisors (see below), whose sum is σ = 213161760. Its totient is φ = 22651200.

The previous prime is 78929239. The next prime is 78929269. The reversal of 78929268 is 86292987.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 78929268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78929269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26158 + ... + 29018.

It is an arithmetic number, because the mean of its divisors is an integer number (2960580).

Almost surely, 2^78929268 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 78929268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106580880).

78929268 is an abundant number, since it is smaller than the sum of its proper divisors (134232492).

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

78929268 is a wasteful number, since it uses less digits than its factorization.

78929268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2896 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 78929268 is about 8884.2145404082. The cubic root of 78929268 is about 428.9559455090.

It can be divided in two parts, 78929 and 268, that added together give a palindrome (79197).

The spelling of 78929268 in words is "seventy-eight million, nine hundred twenty-nine thousand, two hundred sixty-eight".