78410112 has 128 divisors (see below), whose sum is σ = 239414400. Its totient is φ = 22487040.

The previous prime is 78410077. The next prime is 78410149. The reversal of 78410112 is 21101487.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×78410112² = 12296291327705088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79768 + ... + 80744.

It is an arithmetic number, because the mean of its divisors is an integer number (1870425).

Almost surely, 2^78410112 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 78410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119707200).

78410112 is an abundant number, since it is smaller than the sum of its proper divisors (161004288).

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

78410112 is a wasteful number, since it uses less digits than its factorization.

78410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 78410112 is about 8854.9484470549. The cubic root of 78410112 is about 428.0133923081.

Adding to 78410112 its reverse (21101487), we get a palindrome (99511599).

The spelling of 78410112 in words is "seventy-eight million, four hundred ten thousand, one hundred twelve".