7613980 has 48 divisors (see below), whose sum is σ = 17799264. Its totient is φ = 2712320.

The previous prime is 7613923. The next prime is 7613981. The reversal of 7613980 is 893167.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7613981) 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 15 ways as a sum of consecutive naturals, for example, 11334 + ... + 11986.

It is an arithmetic number, because the mean of its divisors is an integer number (370818).

Almost surely, 2^7613980 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 7613980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899632).

7613980 is an abundant number, since it is smaller than the sum of its proper divisors (10185284).

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

7613980 is a wasteful number, since it uses less digits than its factorization.

7613980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 7613980 is about 2759.3441249688. The cubic root of 7613980 is about 196.7299933319.

The spelling of 7613980 in words is "seven million, six hundred thirteen thousand, nine hundred eighty".