8084284000 has 144 divisors (see below), whose sum is σ = 21510347040. Its totient is φ = 2984716800.

The previous prime is 8084283997. The next prime is 8084284003. The reversal of 8084284000 is 4824808.

It is an interprime number because it is at equal distance from previous prime (8084283997) and next prime (8084284003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8084284003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670021 + ... + 681979.

It is an arithmetic number, because the mean of its divisors is an integer number (149377410).

Almost surely, 2^8084284000 is an apocalyptic number.

8084284000 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 8084284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755173520).

8084284000 is an abundant number, since it is smaller than the sum of its proper divisors (13426063040).

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

8084284000 is a wasteful number, since it uses less digits than its factorization.

8084284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 8084284000 is about 89912.6464964746. The cubic root of 8084284000 is about 2006.9991440849. Note that the first 3 decimals are identical.

The spelling of 8084284000 in words is "eight billion, eighty-four million, two hundred eighty-four thousand".