7906 has 8 divisors (see below), whose sum is σ = 12240. Its totient is φ = 3828.

The previous prime is 7901. The next prime is 7907. The reversal of 7906 is 6097.

7906 is nontrivially palindromic in base 7.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a d-powerful number, because it can be written as 7² + 0 + 9² + 6⁵ .

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (7901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

2⁷⁹⁰⁶ is an apocalyptic number.

7906 is a deficient number, since it is larger than the sum of its proper divisors (4334).

7906 is a wasteful number, since it uses less digits than its factorization.

7906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 7906 is about 88.9156904039. The cubic root of 7906 is about 19.9213578425.

The spelling of 7906 in words is "seven thousand, nine hundred six".