7812560 has 60 divisors (see below), whose sum is σ = 21140388. Its totient is φ = 2677248.

The previous prime is 7812559. The next prime is 7812569. The reversal of 7812560 is 652187.

It can be written as a sum of positive squares in 2 ways, for example, as 4293184 + 3519376 = 2072^2 + 1876^2 .

It is a super-2 number, since 2×7812560² = 122072187507200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7812569) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2924 + ... + 4916.

Almost surely, 2^7812560 is an apocalyptic number.

7812560 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 7812560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10570194).

7812560 is an abundant number, since it is smaller than the sum of its proper divisors (13327828).

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

7812560 is a wasteful number, since it uses less digits than its factorization.

7812560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 7812560 is about 2795.0957049804. The cubic root of 7812560 is about 198.4256394631.

The spelling of 7812560 in words is "seven million, eight hundred twelve thousand, five hundred sixty".