7801 has 4 divisors (see below), whose sum is σ = 8100. Its totient is φ = 7504.

The previous prime is 7793. The next prime is 7817. The reversal of 7801 is 1087.

7801 is nontrivially palindromic in base 7 and base 8.

7801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2025 + 5776 = 45^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 7801 - 2³ = 7793 is a prime.

It is a Duffinian number.

7801 is an undulating number in base 8.

7801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7841) 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, 106 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

2⁷⁸⁰¹ is an apocalyptic number.

7801 is the 40-th centered decagonal number.

It is an amenable number.

7801 is a deficient number, since it is larger than the sum of its proper divisors (299).

7801 is a wasteful number, since it uses less digits than its factorization.

7801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 7801 is about 88.3232698670. The cubic root of 7801 is about 19.8327723087.

Adding to 7801 its reverse (1087), we get a palindrome (8888).

It can be divided in two parts, 7 and 801, that added together give a palindrome (808).

The spelling of 7801 in words is "seven thousand, eight hundred one".