7630480 has 160 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 2365440.

The previous prime is 7630477. The next prime is 7630487. The reversal of 7630480 is 840367.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7630487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 263106 + ... + 263134.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^7630480 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 7630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

7630480 is an abundant number, since it is smaller than the sum of its proper divisors (14868080).

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

7630480 is a wasteful number, since it uses less digits than its factorization.

7630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7630480 is about 2762.3323478539. The cubic root of 7630480 is about 196.8719997863.

The spelling of 7630480 in words is "seven million, six hundred thirty thousand, four hundred eighty".