7852560480 has 72 divisors (see below), whose sum is σ = 26796867552. Its totient is φ = 2094015744.

The previous prime is 7852560473. The next prime is 7852560481. The reversal of 7852560480 is 840652587.

7852560480 is a `hidden beast` number, since 7 + 8 + 5 + 2 + 560 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7852560481) 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 11 ways as a sum of consecutive naturals, for example, 2725144 + ... + 2728023.

It is an arithmetic number, because the mean of its divisors is an integer number (372178716).

Almost surely, 2^7852560480 is an apocalyptic number.

It is an amenable number.

7852560480 is an abundant number, since it is smaller than the sum of its proper divisors (18944307072).

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

7852560480 is a wasteful number, since it uses less digits than its factorization.

7852560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453188 (or 5453177 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 7852560480 is about 88614.6741798445. The cubic root of 7852560480 is about 1987.6371102752.

The spelling of 7852560480 in words is "seven billion, eight hundred fifty-two million, five hundred sixty thousand, four hundred eighty".