78638112 has 144 divisors (see below), whose sum is σ = 269156160. Its totient is φ = 21275136.

The previous prime is 78638057. The next prime is 78638117. The reversal of 78638112 is 21183687.

78638112 is a `hidden beast` number, since 7 + 8 + 638 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78638117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37278 + ... + 39330.

It is an arithmetic number, because the mean of its divisors is an integer number (1869140).

Almost surely, 2^78638112 is an apocalyptic number.

78638112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78638112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134578080).

78638112 is an abundant number, since it is smaller than the sum of its proper divisors (190518048).

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

78638112 is a wasteful number, since it uses less digits than its factorization.

78638112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2084 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 78638112 is about 8867.8132591976. The cubic root of 78638112 is about 428.4278482840.

The spelling of 78638112 in words is "seventy-eight million, six hundred thirty-eight thousand, one hundred twelve".