7885680 has 160 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 1827840.

The previous prime is 7885649. The next prime is 7885681. The reversal of 7885680 is 865887.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7885681) 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 31 ways as a sum of consecutive naturals, for example, 76509 + ... + 76611.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^7885680 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 7885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

7885680 is an abundant number, since it is smaller than the sum of its proper divisors (19969680).

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

7885680 is a wasteful number, since it uses less digits than its factorization.

7885680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 7885680 is about 2808.1452953863. The cubic root of 7885680 is about 199.0427590920.

It can be divided in two parts, 78 and 85680, that added together give a palindrome (85758).

The spelling of 7885680 in words is "seven million, eight hundred eighty-five thousand, six hundred eighty".