7808960 has 56 divisors (see below), whose sum is σ = 19421856. Its totient is φ = 2984960.

The previous prime is 7808953. The next prime is 7808963. The reversal of 7808960 is 698087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7808963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6830 + ... + 7890.

Almost surely, 2^7808960 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 7808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710928).

7808960 is an abundant number, since it is smaller than the sum of its proper divisors (11612896).

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

7808960 is a wasteful number, since it uses less digits than its factorization.

7808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 7808960 is about 2794.4516456722. The cubic root of 7808960 is about 198.3951568363.

The spelling of 7808960 in words is "seven million, eight hundred eight thousand, nine hundred sixty".