82081792 has 48 divisors (see below), whose sum is σ = 176805720. Its totient is φ = 37871616.

The previous prime is 82081781. The next prime is 82081793. The reversal of 82081792 is 29718028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82081793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25083 + ... + 28165.

Almost surely, 2^82081792 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 82081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88402860).

82081792 is an abundant number, since it is smaller than the sum of its proper divisors (94723928).

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

82081792 is a wasteful number, since it uses less digits than its factorization.

82081792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 82081792 is about 9059.9002202011. The cubic root of 82081792 is about 434.5925492873.

It can be divided in two parts, 8208 and 1792, that added together give a 4-th power (10000 = 10⁴).

The spelling of 82081792 in words is "eighty-two million, eighty-one thousand, seven hundred ninety-two".