7886080 has 72 divisors (see below), whose sum is σ = 19389384. Its totient is φ = 3072000.

The previous prime is 7886077. The next prime is 7886093. The reversal of 7886080 is 806887.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 7139584 = 864^2 + 2672^2 .

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, 78030 + ... + 78130.

It is an arithmetic number, because the mean of its divisors is an integer number (269297).

Almost surely, 2^7886080 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 7886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694692).

7886080 is an abundant number, since it is smaller than the sum of its proper divisors (11503304).

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

7886080 is a wasteful number, since it uses less digits than its factorization.

7886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 7886080 is about 2808.2165158691. The cubic root of 7886080 is about 199.0461245070.

The spelling of 7886080 in words is "seven million, eight hundred eighty-six thousand, eighty".