7826560 has 64 divisors (see below), whose sum is σ = 21395520. Its totient is φ = 2681856.

The previous prime is 7826551. The next prime is 7826561. The reversal of 7826560 is 656287.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7826560² = 122510082867200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7826561) 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 7 ways as a sum of consecutive naturals, for example, 3607 + ... + 5353.

It is an arithmetic number, because the mean of its divisors is an integer number (334305).

Almost surely, 2^7826560 is an apocalyptic number.

7826560 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 7826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697760).

7826560 is an abundant number, since it is smaller than the sum of its proper divisors (13568960).

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

7826560 is a wasteful number, since it uses less digits than its factorization.

7826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 7826560 is about 2797.5989705460. The cubic root of 7826560 is about 198.5440940732.

The spelling of 7826560 in words is "seven million, eight hundred twenty-six thousand, five hundred sixty".