78688224 has 72 divisors (see below), whose sum is σ = 224641872. Its totient is φ = 26127360.

The previous prime is 78688219. The next prime is 78688271. The reversal of 78688224 is 42288687.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 78688224.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 124389 + ... + 125019.

It is an arithmetic number, because the mean of its divisors is an integer number (3120026).

Almost surely, 2^78688224 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 78688224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320936).

78688224 is an abundant number, since it is smaller than the sum of its proper divisors (145953648).

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

78688224 is a wasteful number, since it uses less digits than its factorization.

78688224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 78688224 is about 8870.6383084872. The cubic root of 78688224 is about 428.5188339268.

The spelling of 78688224 in words is "seventy-eight million, six hundred eighty-eight thousand, two hundred twenty-four".