7521480 has 96 divisors (see below), whose sum is σ = 25903800. Its totient is φ = 1886208.

The previous prime is 7521467. The next prime is 7521533. The reversal of 7521480 is 841257.

It can be written as a sum of positive squares in 4 ways, for example, as 7518564 + 2916 = 2742^2 + 54^2 .

It is a super-2 number, since 2×7521480² = 113145322780800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5506 + ... + 6734.

Almost surely, 2^7521480 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 7521480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951900).

7521480 is an abundant number, since it is smaller than the sum of its proper divisors (18382320).

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

7521480 is a wasteful number, since it uses less digits than its factorization.

7521480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7521480 is about 2742.5316771188. The cubic root of 7521480 is about 195.9300736256.

It can be divided in two parts, 7521 and 480, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7521480 in words is "seven million, five hundred twenty-one thousand, four hundred eighty".