7481980 has 48 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 2676800.

The previous prime is 7481939. The next prime is 7481983. The reversal of 7481980 is 891847.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7481983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15381 + ... + 15859.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^7481980 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 7481980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

7481980 is an abundant number, since it is smaller than the sum of its proper divisors (9936260).

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

7481980 is a wasteful number, since it uses less digits than its factorization.

7481980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 7481980 is about 2735.3208221340. The cubic root of 7481980 is about 195.5864876365.

The spelling of 7481980 in words is "seven million, four hundred eighty-one thousand, nine hundred eighty".