322080000000 has 768 divisors, whose sum is σ = 1190106328320. Its totient is φ = 76800000000.

The previous prime is 322079999999. The next prime is 322080000007. The reversal of 322080000000 is 80223.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 12200 × 2200 × 12000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322080000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5279999970 + ... + 5280000030.

It is an arithmetic number, because the mean of its divisors is an integer number (1549617615).

Almost surely, 2^322080000000 is an apocalyptic number.

322080000000 is a gapful number since it is divisible by the number (30) 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 322080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595053164160).

322080000000 is an abundant number, since it is smaller than the sum of its proper divisors (868026328320).

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

322080000000 is an frugal number, since it uses more digits than its factorization.

322080000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 82 counting only the distinct ones).

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

Adding to 322080000000 its reverse (80223), we get a palindrome (322080080223).

The spelling of 322080000000 in words is "three hundred twenty-two billion, eighty million", and thus it is an aban number.