7807680 has 84 divisors (see below), whose sum is σ = 26865072. Its totient is φ = 2081280.

The previous prime is 7807673. The next prime is 7807697. The reversal of 7807680 is 867087.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1525 + ... + 4235.

Almost surely, 2^7807680 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 7807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13432536).

7807680 is an abundant number, since it is smaller than the sum of its proper divisors (19057392).

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

7807680 is a wasteful number, since it uses less digits than its factorization.

7807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7807680 is about 2794.2226110316. Note that the first 3 decimals coincide. The cubic root of 7807680 is about 198.3843163114.

The spelling of 7807680 in words is "seven million, eight hundred seven thousand, six hundred eighty".