82378112 has 32 divisors (see below), whose sum is σ = 167222880. Its totient is φ = 40408576.

The previous prime is 82378099. The next prime is 82378117. The reversal of 82378112 is 21187328.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82378117) 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 3 ways as a sum of consecutive naturals, for example, 713 + ... + 12855.

It is an arithmetic number, because the mean of its divisors is an integer number (5225715).

Almost surely, 2^82378112 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 82378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83611440).

82378112 is an abundant number, since it is smaller than the sum of its proper divisors (84844768).

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

82378112 is a wasteful number, since it uses less digits than its factorization.

82378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210 (or 12198 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 82378112 is about 9076.2388686063. The cubic root of 82378112 is about 435.1148892819.

The spelling of 82378112 in words is "eighty-two million, three hundred seventy-eight thousand, one hundred twelve".