7970880 has 168 divisors, whose sum is σ = 27870912. Its totient is φ = 1926144.

The previous prime is 7970869. The next prime is 7970881. The reversal of 7970880 is 880797.

It is not an unprimeable number, because it can be changed into a prime (7970881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346549 + ... + 346571.

Almost surely, 2^7970880 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 7970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13935456).

7970880 is an abundant number, since it is smaller than the sum of its proper divisors (19900032).

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

7970880 is a wasteful number, since it uses less digits than its factorization.

7970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 7970880 is about 2823.2746943930. The cubic root of 7970880 is about 199.7570383009.

The spelling of 7970880 in words is "seven million, nine hundred seventy thousand, eight hundred eighty".