7830641 has 24 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 5860512.

The previous prime is 7830619. The next prime is 7830653. The reversal of 7830641 is 1460387.

7830641 = T₁₁₈ + T₁₁₉ + ... + T₃₆₄.

It is not a de Polignac number, because 7830641 - 2⁶ = 7830577 is a prime.

It is a super-2 number, since 2×7830641² = 122637876941762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7830611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11780 + ... + 12426.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^7830641 is an apocalyptic number.

It is an amenable number.

7830641 is a deficient number, since it is larger than the sum of its proper divisors (2511439).

7830641 is a wasteful number, since it uses less digits than its factorization.

7830641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 7830641 is about 2798.3282509384. The cubic root of 7830641 is about 198.5785969991.

The spelling of 7830641 in words is "seven million, eight hundred thirty thousand, six hundred forty-one".