7857409960 has 64 divisors (see below), whose sum is σ = 18760636800. Its totient is φ = 2955338496.

The previous prime is 7857409957. The next prime is 7857409981. The reversal of 7857409960 is 699047587.

It is a super-3 number, since 3×7857409960³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18099 + ... + 126658.

It is an arithmetic number, because the mean of its divisors is an integer number (293134950).

Almost surely, 2^7857409960 is an apocalyptic number.

It is an amenable number.

7857409960 is an abundant number, since it is smaller than the sum of its proper divisors (10903226840).

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

7857409960 is a wasteful number, since it uses less digits than its factorization.

7857409960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144850 (or 144846 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The square root of 7857409960 is about 88642.0326932996. The cubic root of 7857409960 is about 1988.0461922503.

The spelling of 7857409960 in words is "seven billion, eight hundred fifty-seven million, four hundred nine thousand, nine hundred sixty".