7082084160 has 336 divisors, whose sum is σ = 25643781072. Its totient is φ = 1791590400.

The previous prime is 7082084117. The next prime is 7082084161. The reversal of 7082084160 is 614802807.

It can be written as a sum of positive squares in 8 ways, for example, as 1871424 + 7080212736 = 1368^2 + 84144^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7082084161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4368150 + ... + 4369770.

It is an arithmetic number, because the mean of its divisors is an integer number (76320777).

Almost surely, 2^7082084160 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 7082084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821890536).

7082084160 is an abundant number, since it is smaller than the sum of its proper divisors (18561696912).

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

7082084160 is a wasteful number, since it uses less digits than its factorization.

7082084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7082084160 is about 84155.1196303588. The cubic root of 7082084160 is about 1920.3793521263.

Adding to 7082084160 its reverse (614802807), we get a palindrome (7696886967).

The spelling of 7082084160 in words is "seven billion, eighty-two million, eighty-four thousand, one hundred sixty".