82078344 has 96 divisors (see below), whose sum is σ = 229596120. Its totient is φ = 26477568.

The previous prime is 82078327. The next prime is 82078369. The reversal of 82078344 is 44387028.

It can be written as a sum of positive squares in 4 ways, for example, as 72897444 + 9180900 = 8538^2 + 3030^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 82078299 and 82078308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522714 + ... + 522870.

Almost surely, 2^82078344 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 82078344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114798060).

82078344 is an abundant number, since it is smaller than the sum of its proper divisors (147517776).

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

82078344 is a wasteful number, since it uses less digits than its factorization.

82078344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 82078344 is about 9059.7099291313. The cubic root of 82078344 is about 434.5864639097.

The spelling of 82078344 in words is "eighty-two million, seventy-eight thousand, three hundred forty-four".