78809688 has 144 divisors (see below), whose sum is σ = 237009240. Its totient is φ = 23569920.

The previous prime is 78809683. The next prime is 78809693. The reversal of 78809688 is 88690887.

It is an interprime number because it is at equal distance from previous prime (78809683) and next prime (78809693).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78809681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1176231 + ... + 1176297.

Almost surely, 2^78809688 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 78809688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118504620).

78809688 is an abundant number, since it is smaller than the sum of its proper divisors (158199552).

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

78809688 is a wasteful number, since it uses less digits than its factorization.

78809688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 78809688 is about 8877.4820754536. The cubic root of 78809688 is about 428.7392093548.

It can be divided in two parts, 78809 and 688, that added together give a palindrome (79497).

The spelling of 78809688 in words is "seventy-eight million, eight hundred nine thousand, six hundred eighty-eight".