7082205840 has 360 divisors, whose sum is σ = 25128088128. Its totient is φ = 1855975680.

The previous prime is 7082205799. The next prime is 7082205847. The reversal of 7082205840 is 485022807.

It is a happy number.

7082205840 is a `hidden beast` number, since 70 + 8 + 2 + 2 + 0 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 7082205795 and 7082205804.

It is not an unprimeable number, because it can be changed into a prime (7082205847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54062575 + ... + 54062705.

Almost surely, 2^7082205840 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 7082205840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12564044064).

7082205840 is an abundant number, since it is smaller than the sum of its proper divisors (18045882288).

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

7082205840 is a wasteful number, since it uses less digits than its factorization.

7082205840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7082205840 is about 84155.8425779221. The cubic root of 7082205840 is about 1920.3903503210.

The spelling of 7082205840 in words is "seven billion, eighty-two million, two hundred five thousand, eight hundred forty".