82327840 has 72 divisors (see below), whose sum is σ = 226276092. Its totient is φ = 28224000.

The previous prime is 82327831. The next prime is 82327841. The reversal of 82327840 is 4872328.

It can be written as a sum of positive squares in 2 ways, for example, as 79780624 + 2547216 = 8932^2 + 1596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82327796 and 82327805.

It is not an unprimeable number, because it can be changed into a prime (82327841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2590 + ... + 13090.

Almost surely, 2^82327840 is an apocalyptic number.

82327840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113138046).

82327840 is an abundant number, since it is smaller than the sum of its proper divisors (143948252).

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

82327840 is a wasteful number, since it uses less digits than its factorization.

82327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10530 (or 10515 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 82327840 is about 9073.4690168645. The cubic root of 82327840 is about 435.0263603174.

It can be divided in two parts, 82327 and 840, that multiplied together give a triangular number (69154680 = T₁₁₇₆₀).

The spelling of 82327840 in words is "eighty-two million, three hundred twenty-seven thousand, eight hundred forty".