7806560 has 48 divisors (see below), whose sum is σ = 18670176. Its totient is φ = 3084288.

The previous prime is 7806551. The next prime is 7806577. The reversal of 7806560 is 656087.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 15269 + ... + 15771.

It is an arithmetic number, because the mean of its divisors is an integer number (388962).

Almost surely, 2^7806560 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 7806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9335088).

7806560 is an abundant number, since it is smaller than the sum of its proper divisors (10863616).

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

7806560 is a wasteful number, since it uses less digits than its factorization.

7806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 7806560 is about 2794.0221903199. The cubic root of 7806560 is about 198.3748298801.

It can be divided in two parts, 78065 and 60, that added together give a 7-th power (78125 = 5⁷).

The spelling of 7806560 in words is "seven million, eight hundred six thousand, five hundred sixty".