7882305 has 16 divisors (see below), whose sum is σ = 13353984. Its totient is φ = 3956480.

The previous prime is 7882297. The next prime is 7882309. The reversal of 7882305 is 5032887.

It is not a de Polignac number, because 7882305 - 2³ = 7882297 is a prime.

It is a super-2 number, since 2×7882305² = 124261464226050, which contains 22 as substring.

It is a d-powerful number, because it can be written as 7⁸ + 8³ + 8⁵ + 2¹⁷ + 3³ + 0 + 5⁹ .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7882309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15201 + ... + 15710.

It is an arithmetic number, because the mean of its divisors is an integer number (834624).

Almost surely, 2^7882305 is an apocalyptic number.

It is an amenable number.

7882305 is a deficient number, since it is larger than the sum of its proper divisors (5471679).

7882305 is a wasteful number, since it uses less digits than its factorization.

7882305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30936.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 7882305 is about 2807.5443006300. The cubic root of 7882305 is about 199.0143588706.

The spelling of 7882305 in words is "seven million, eight hundred eighty-two thousand, three hundred five".