78281112 has 128 divisors (see below), whose sum is σ = 244661760. Its totient is φ = 20321280.

The previous prime is 78281111. The next prime is 78281123. The reversal of 78281112 is 21118287.

It is a happy number.

It is a super-2 number, since 2×78281112² = 12255864991913088, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78281112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78281111) 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 31 ways as a sum of consecutive naturals, for example, 159187 + ... + 159677.

It is an arithmetic number, because the mean of its divisors is an integer number (1911420).

Almost surely, 2^78281112 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 78281112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122330880).

78281112 is an abundant number, since it is smaller than the sum of its proper divisors (166380648).

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

78281112 is a wasteful number, since it uses less digits than its factorization.

78281112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its digits is 1792, while the sum is 30.

The square root of 78281112 is about 8847.6613859257. The cubic root of 78281112 is about 427.7785415002.

Adding to 78281112 its reverse (21118287), we get a palindrome (99399399).

The spelling of 78281112 in words is "seventy-eight million, two hundred eighty-one thousand, one hundred twelve".