78688368 has 160 divisors (see below), whose sum is σ = 255340800. Its totient is φ = 22982400.

The previous prime is 78688361. The next prime is 78688369. The reversal of 78688368 is 86388687.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78688361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137523 + ... + 138093.

It is an arithmetic number, because the mean of its divisors is an integer number (1595880).

Almost surely, 2^78688368 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 78688368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

78688368 is an abundant number, since it is smaller than the sum of its proper divisors (176652432).

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

78688368 is a wasteful number, since it uses less digits than its factorization.

78688368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 616 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 78688368 is about 8870.6464251485. The cubic root of 78688368 is about 428.5190953241.

The spelling of 78688368 in words is "seventy-eight million, six hundred eighty-eight thousand, three hundred sixty-eight".