82320000 has 320 divisors, whose sum is σ = 318648000. Its totient is φ = 18816000.

The previous prime is 82319999. The next prime is 82320037. The reversal of 82320000 is 2328.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11759997 + ... + 11760003.

It is an arithmetic number, because the mean of its divisors is an integer number (995775).

Almost surely, 2^82320000 is an apocalyptic number.

82320000 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 82320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159324000).

82320000 is an abundant number, since it is smaller than the sum of its proper divisors (236328000).

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

82320000 is an frugal number, since it uses more digits than its factorization.

82320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

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

The square root of 82320000 is about 9073.0369777710. The cubic root of 82320000 is about 435.0125508335.

Adding to 82320000 its reverse (2328), we get a palindrome (82322328).

The spelling of 82320000 in words is "eighty-two million, three hundred twenty thousand".