7855680 has 168 divisors, whose sum is σ = 29187648. Its totient is φ = 1784832.

The previous prime is 7855669. The next prime is 7855693. The reversal of 7855680 is 865587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46957 + ... + 47123.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

Almost surely, 2^7855680 is an apocalyptic number.

7855680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

7855680 is an abundant number, since it is smaller than the sum of its proper divisors (21331968).

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

7855680 is a wasteful number, since it uses less digits than its factorization.

7855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 7855680 is about 2802.7986013983. The cubic root of 7855680 is about 198.7900279333.

The spelling of 7855680 in words is "seven million, eight hundred fifty-five thousand, six hundred eighty".