8084356840 has 128 divisors (see below), whose sum is σ = 21193643520. Its totient is φ = 2718028800.

The previous prime is 8084356829. The next prime is 8084356877. The reversal of 8084356840 is 486534808.

It is a super-3 number, since 3×8084356840³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8590770 + ... + 8591710.

It is an arithmetic number, because the mean of its divisors is an integer number (165575340).

Almost surely, 2^8084356840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8084356840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596821760).

8084356840 is an abundant number, since it is smaller than the sum of its proper divisors (13109286680).

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

8084356840 is a wasteful number, since it uses less digits than its factorization.

8084356840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The square root of 8084356840 is about 89913.0515553777. The cubic root of 8084356840 is about 2007.0051718039.

The spelling of 8084356840 in words is "eight billion, eighty-four million, three hundred fifty-six thousand, eight hundred forty".