78438096 has 120 divisors (see below), whose sum is σ = 250001856. Its totient is φ = 22725120.

The previous prime is 78438067. The next prime is 78438097. The reversal of 78438096 is 69083487.

It is a happy number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78438097) 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, 35356 + ... + 37508.

Almost surely, 2^78438096 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 78438096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125000928).

78438096 is an abundant number, since it is smaller than the sum of its proper divisors (171563760).

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

78438096 is a wasteful number, since it uses less digits than its factorization.

78438096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 78438096 is about 8856.5284395185. The cubic root of 78438096 is about 428.0643045432.

The spelling of 78438096 in words is "seventy-eight million, four hundred thirty-eight thousand, ninety-six".