7638480 has 90 divisors (see below), whose sum is σ = 25904034. Its totient is φ = 2017152.

The previous prime is 7638473. The next prime is 7638497. The reversal of 7638480 is 848367.

It can be written as a sum of positive squares in only one way, i.e., 6110784 + 1527696 = 2472^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74109 + ... + 74211.

Almost surely, 2^7638480 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 7638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12952017).

7638480 is an abundant number, since it is smaller than the sum of its proper divisors (18265554).

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

7638480 is a wasteful number, since it uses less digits than its factorization.

7638480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7638480 is about 2763.7800201897. The cubic root of 7638480 is about 196.9407777183.

It can be divided in two parts, 7638 and 480, that added together give a palindrome (8118).

The spelling of 7638480 in words is "seven million, six hundred thirty-eight thousand, four hundred eighty".