7638900 has 36 divisors (see below), whose sum is σ = 22102752. Its totient is φ = 2036960.

The previous prime is 7638889. The next prime is 7638901. The reversal of 7638900 is 98367.

It is a happy number.

7638900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12432 + ... + 13031.

Almost surely, 2^7638900 is an apocalyptic number.

It is an amenable number.

7638900 is an abundant number, since it is smaller than the sum of its proper divisors (14463852).

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

7638900 is a wasteful number, since it uses less digits than its factorization.

7638900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25480 (or 25473 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 7638900 is about 2763.8560020377. The cubic root of 7638900 is about 196.9443872327.

The spelling of 7638900 in words is "seven million, six hundred thirty-eight thousand, nine hundred".