8340084720 has 180 divisors, whose sum is σ = 30786836808. Its totient is φ = 2021817600.

The previous prime is 8340084707. The next prime is 8340084743. The reversal of 8340084720 is 274800438.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39255 + ... + 134985.

Almost surely, 2^8340084720 is an apocalyptic number.

8340084720 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 8340084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393418404).

8340084720 is an abundant number, since it is smaller than the sum of its proper divisors (22446752088).

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

8340084720 is a wasteful number, since it uses less digits than its factorization.

8340084720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95772 (or 95752 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8340084720 is about 91324.0642985188. The cubic root of 8340084720 is about 2027.9480280322.

The spelling of 8340084720 in words is "eight billion, three hundred forty million, eighty-four thousand, seven hundred twenty".