7006080 has 128 divisors (see below), whose sum is σ = 23133600. Its totient is φ = 1802240.

The previous prime is 7006063. The next prime is 7006133. The reversal of 7006080 is 806007.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 78676 + ... + 78764.

Almost surely, 2^7006080 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 7006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566800).

7006080 is an abundant number, since it is smaller than the sum of its proper divisors (16127520).

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

7006080 is a wasteful number, since it uses less digits than its factorization.

7006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 7006080 is about 2646.9000736711. The cubic root of 7006080 is about 191.3484861623.

The spelling of 7006080 in words is "seven million, six thousand, eighty".