7006480 has 40 divisors (see below), whose sum is σ = 17545752. Its totient is φ = 2586624.

The previous prime is 7006477. The next prime is 7006481. The reversal of 7006480 is 846007.

7006480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 6885376 = 348^2 + 2624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (7006481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2329 + ... + 4408.

Almost surely, 2^7006480 is an apocalyptic number.

It is an amenable number.

7006480 is an abundant number, since it is smaller than the sum of its proper divisors (10539272).

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

7006480 is a wasteful number, since it uses less digits than its factorization.

7006480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 7006480 is about 2646.9756326797. The cubic root of 7006480 is about 191.3521276632.

The spelling of 7006480 in words is "seven million, six thousand, four hundred eighty".