7870481680 has 60 divisors (see below), whose sum is σ = 18951785892. Its totient is φ = 3039608320.

The previous prime is 7870481669. The next prime is 7870481681. The reversal of 7870481680 is 861840787.

It can be written as a sum of positive squares in 6 ways, for example, as 844018704 + 7026462976 = 29052^2 + 83824^2 .

It is not an unprimeable number, because it can be changed into a prime (7870481681) 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, 8790 + ... + 125770.

Almost surely, 2^7870481680 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 7870481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475892946).

7870481680 is an abundant number, since it is smaller than the sum of its proper divisors (11081304212).

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

7870481680 is a wasteful number, since it uses less digits than its factorization.

7870481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117052 (or 117017 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The square root of 7870481680 is about 88715.7352446566. The cubic root of 7870481680 is about 1989.1480305449.

The spelling of 7870481680 in words is "seven billion, eight hundred seventy million, four hundred eighty-one thousand, six hundred eighty".