7875560 has 64 divisors (see below), whose sum is σ = 22101120. Its totient is φ = 2453760.

The previous prime is 7875551. The next prime is 7875563. The reversal of 7875560 is 655787.

It is not an unprimeable number, because it can be changed into a prime (7875563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802 + ... + 4358.

It is an arithmetic number, because the mean of its divisors is an integer number (345330).

Almost surely, 2^7875560 is an apocalyptic number.

7875560 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 7875560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050560).

7875560 is an abundant number, since it is smaller than the sum of its proper divisors (14225560).

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

7875560 is a wasteful number, since it uses less digits than its factorization.

7875560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 7875560 is about 2806.3428158370. The cubic root of 7875560 is about 198.9575762027.

It can be divided in two parts, 7875 and 560, that multiplied together give a square (4410000 = 2100²).

The spelling of 7875560 in words is "seven million, eight hundred seventy-five thousand, five hundred sixty".