7630 has 16 divisors (see below), whose sum is σ = 15840. Its totient is φ = 2592.

The previous prime is 7621. The next prime is 7639. The reversal of 7630 is 367.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7621) and next prime (7639).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7639) 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, 16 + ... + 124.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

2⁷⁶³⁰ is an apocalyptic number.

7630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7630 is an abundant number, since it is smaller than the sum of its proper divisors (8210).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920).

7630 is a wasteful number, since it uses less digits than its factorization.

7630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 7630 is about 87.3498712077. The cubic root of 7630 is about 19.6867871582.

Adding to 7630 its reverse (367), we get a palindrome (7997).

The spelling of 7630 in words is "seven thousand, six hundred thirty".