7005080 has 32 divisors (see below), whose sum is σ = 15984000. Its totient is φ = 2762496.

The previous prime is 7005077. The next prime is 7005107. The reversal of 7005080 is 805007.

It is a super-2 number, since 2×7005080² = 98142291612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1721 + ... + 4119.

It is an arithmetic number, because the mean of its divisors is an integer number (499500).

Almost surely, 2^7005080 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 7005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992000).

7005080 is an abundant number, since it is smaller than the sum of its proper divisors (8978920).

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

7005080 is a wasteful number, since it uses less digits than its factorization.

7005080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 7005080 is about 2646.7111667124. The cubic root of 7005080 is about 191.3393818039.

The spelling of 7005080 in words is "seven million, five thousand, eighty".