7970080 has 48 divisors (see below), whose sum is σ = 19043640. Its totient is φ = 3151872.

The previous prime is 7970071. The next prime is 7970089. The reversal of 7970080 is 800797.

It is an interprime number because it is at equal distance from previous prime (7970071) and next prime (7970089).

It can be written as a sum of positive squares in 4 ways, for example, as 7772944 + 197136 = 2788^2 + 444^2 .

It is not an unprimeable number, because it can be changed into a prime (7970089) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17212 + ... + 17668.

Almost surely, 2^7970080 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 7970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521820).

7970080 is an abundant number, since it is smaller than the sum of its proper divisors (11073560).

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

7970080 is a wasteful number, since it uses less digits than its factorization.

7970080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 7970080 is about 2823.1330113900. The cubic root of 7970080 is about 199.7503551836.

The spelling of 7970080 in words is "seven million, nine hundred seventy thousand, eighty".