8120 has 32 divisors (see below), whose sum is σ = 21600. Its totient is φ = 2688.

The previous prime is 8117. The next prime is 8123. The reversal of 8120 is 218.

8120 = T₄₁ + T₄₂ + ... + T₄₈.

8120 = 31² + 32² + ... + 37².

It is an interprime number because it is at equal distance from previous prime (8117) and next prime (8123).

8120 is an undulating number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (675).

2⁸¹²⁰ 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 8120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800).

8120 is an abundant number, since it is smaller than the sum of its proper divisors (13480).

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

8120 is a wasteful number, since it uses less digits than its factorization.

8120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8120 is about 90.1110426086. Note that the first 3 decimals coincide. The cubic root of 8120 is about 20.0995041255.

Adding to 8120 its reverse (218), we get a palindrome (8338).

It can be divided in two parts, 81 and 20, that added together give a palindrome (101).

The spelling of 8120 in words is "eight thousand, one hundred twenty".