78468138 has 96 divisors (see below), whose sum is σ = 207792000. Its totient is φ = 20901888.

The previous prime is 78468127. The next prime is 78468139. The reversal of 78468138 is 83186487.

It is a junction number, because it is equal to n+sod(n) for n = 78468093 and 78468102.

It is not an unprimeable number, because it can be changed into a prime (78468139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174538 + ... + 174986.

It is an arithmetic number, because the mean of its divisors is an integer number (2164500).

Almost surely, 2^78468138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78468138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103896000).

78468138 is an abundant number, since it is smaller than the sum of its proper divisors (129323862).

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

78468138 is a wasteful number, since it uses less digits than its factorization.

78468138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 553 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 78468138 is about 8858.2243141614. The cubic root of 78468138 is about 428.1189474911.

It can be divided in two parts, 78468 and 138, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 78468138 in words is "seventy-eight million, four hundred sixty-eight thousand, one hundred thirty-eight".