7830016 has 40 divisors (see below), whose sum is σ = 16069284. Its totient is φ = 3809280.

The previous prime is 7830007. The next prime is 7830037. The reversal of 7830016 is 6100387.

It can be written as a sum of positive squares in 2 ways, for example, as 7311616 + 518400 = 2704^2 + 720^2 .

It is a super-2 number, since 2×7830016² = 122618301120512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20806 + ... + 21178.

Almost surely, 2^7830016 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 7830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034642).

7830016 is an abundant number, since it is smaller than the sum of its proper divisors (8239268).

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

7830016 is an equidigital number, since it uses as much as digits as its factorization.

7830016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 7830016 is about 2798.2165748919. The cubic root of 7830016 is about 198.5733136970.

The spelling of 7830016 in words is "seven million, eight hundred thirty thousand, sixteen".