84320080000 has 160 divisors (see below), whose sum is σ = 226059247260. Its totient is φ = 31133184000.

The previous prime is 84320079989. The next prime is 84320080001. The reversal of 84320080000 is 8002348.

It can be written as a sum of positive squares in 10 ways, for example, as 5107103296 + 79212976704 = 71464^2 + 281448^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (84320080001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 999462 + ... + 1080538.

Almost surely, 2^84320080000 is an apocalyptic number.

84320080000 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 84320080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113029623630).

84320080000 is an abundant number, since it is smaller than the sum of its proper divisors (141739167260).

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

84320080000 is an equidigital number, since it uses as much as digits as its factorization.

84320080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81124 (or 81097 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 84320080000 its reverse (8002348), we get a palindrome (84328082348).

The spelling of 84320080000 in words is "eighty-four billion, three hundred twenty million, eighty thousand".