82347000320 has 160 divisors (see below), whose sum is σ = 214700758272. Its totient is φ = 30108598272.

The previous prime is 82347000301. The next prime is 82347000341. The reversal of 82347000320 is 2300074328.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 3415829 + ... + 3439851.

Almost surely, 2^82347000320 is an apocalyptic number.

82347000320 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 82347000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107350379136).

82347000320 is an abundant number, since it is smaller than the sum of its proper divisors (132353757952).

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

82347000320 is a wasteful number, since it uses less digits than its factorization.

82347000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24162 (or 24146 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 82347000320 its reverse (2300074328), we get a palindrome (84647074648).

The spelling of 82347000320 in words is "eighty-two billion, three hundred forty-seven million, three hundred twenty", and thus it is an aban number.