7620 has 24 divisors (see below), whose sum is σ = 21504. Its totient is φ = 2016.

The previous prime is 7607. The next prime is 7621. The reversal of 7620 is 267.

7620 = T₁₇ + T₁₈ + ... + T₃₆.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 7620.

It is not an unprimeable number, because it can be changed into a prime (7621) by changing a digit.

7620 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (896).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752).

7620 is an abundant number, since it is smaller than the sum of its proper divisors (13884).

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

7620 is a wasteful number, since it uses less digits than its factorization.

7620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 7620 is about 87.2926113712. The cubic root of 7620 is about 19.6781827921.

Adding to 7620 its reverse (267), we get a palindrome (7887).

The spelling of 7620 in words is "seven thousand, six hundred twenty".