78638600 has 96 divisors (see below), whose sum is σ = 196360200. Its totient is φ = 29184000.

The previous prime is 78638569. The next prime is 78638611. The reversal of 78638600 is 683687.

It can be written as a sum of positive squares in 12 ways, for example, as 52157284 + 26481316 = 7222^2 + 5146^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343286 + ... + 343514.

Almost surely, 2^78638600 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 78638600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98180100).

78638600 is an abundant number, since it is smaller than the sum of its proper divisors (117721600).

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

78638600 is a wasteful number, since it uses less digits than its factorization.

78638600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 78638600 is about 8867.8407743937. The cubic root of 78638600 is about 428.4287345055.

The spelling of 78638600 in words is "seventy-eight million, six hundred thirty-eight thousand, six hundred".