7082905600 has 117 divisors (see below), whose sum is σ = 17630496793. Its totient is φ = 2822389760.

The previous prime is 7082905589. The next prime is 7082905631. The reversal of 7082905600 is 65092807.

The square root of 7082905600 is 84160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2549846016 + 4533059584 = 50496^2 + 67328^2 .

It is a super-2 number, since 2×7082905600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7082905600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26931069 + ... + 26931331.

Almost surely, 2^7082905600 is an apocalyptic number.

7082905600 is the 84160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7082905600

7082905600 is an abundant number, since it is smaller than the sum of its proper divisors (10547591193).

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

7082905600 is an frugal number, since it uses more digits than its factorization.

7082905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The cubic root of 7082905600 is about 1920.4535965339.

The spelling of 7082905600 in words is "seven billion, eighty-two million, nine hundred five thousand, six hundred".