82000320 has 112 divisors (see below), whose sum is σ = 262188960. Its totient is φ = 21712896.

The previous prime is 82000319. The next prime is 82000327. The reversal of 82000320 is 2300028.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 82000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82000327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219654 + ... + 220026.

Almost surely, 2^82000320 is an apocalyptic number.

82000320 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 82000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131094480).

82000320 is an abundant number, since it is smaller than the sum of its proper divisors (180188640).

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

82000320 is a wasteful number, since it uses less digits than its factorization.

82000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 82000320 is about 9055.4028071644. The cubic root of 82000320 is about 434.4487137119.

Adding to 82000320 its reverse (2300028), we get a palindrome (84300348).

The spelling of 82000320 in words is "eighty-two million, three hundred twenty", and thus it is an aban number.