7626 has 16 divisors (see below), whose sum is σ = 16128. Its totient is φ = 2400.

The previous prime is 7621. The next prime is 7639. The reversal of 7626 is 6267.

7626 is a nontrivial binomial coefficient, being equal to C(124, 2).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7626.

It is not an unprimeable number, because it can be changed into a prime (7621) 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, 166 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2⁷⁶²⁶ is an apocalyptic number.

7626 is the 123-rd triangular number and also the 62-nd hexagonal number.

7626 is an abundant number, since it is smaller than the sum of its proper divisors (8502).

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 (8064).

7626 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (7625) it forms an eRAP, since the sums of their prime factors are consecutive (76 and 77).

7626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its digits is 504, while the sum is 21.

The square root of 7626 is about 87.3269717785. The cubic root of 7626 is about 19.6833463144.

The spelling of 7626 in words is "seven thousand, six hundred twenty-six".