7470880 has 48 divisors (see below), whose sum is σ = 18003384. Its totient is φ = 2928640.

The previous prime is 7470851. The next prime is 7470887. The reversal of 7470880 is 880747.

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 1882384 = 2364^2 + 1372^2 .

It is not an unprimeable number, because it can be changed into a prime (7470887) 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 7 ways as a sum of consecutive naturals, for example, 8040 + ... + 8920.

Almost surely, 2^7470880 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 7470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9001692).

7470880 is an abundant number, since it is smaller than the sum of its proper divisors (10532504).

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

7470880 is a wasteful number, since it uses less digits than its factorization.

7470880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 7470880 is about 2733.2910565836. The cubic root of 7470880 is about 195.4897180421.

The spelling of 7470880 in words is "seven million, four hundred seventy thousand, eight hundred eighty".