7857087840 has 288 divisors, whose sum is σ = 30754563840. Its totient is φ = 1789350912.

The previous prime is 7857087809. The next prime is 7857087851. The reversal of 7857087840 is 487807587.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3093291 + ... + 3095829.

It is an arithmetic number, because the mean of its divisors is an integer number (106786680).

Almost surely, 2^7857087840 is an apocalyptic number.

7857087840 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 7857087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377281920).

7857087840 is an abundant number, since it is smaller than the sum of its proper divisors (22897476000).

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

7857087840 is a wasteful number, since it uses less digits than its factorization.

7857087840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The square root of 7857087840 is about 88640.2157037087. The cubic root of 7857087840 is about 1988.0190247657.

The spelling of 7857087840 in words is "seven billion, eight hundred fifty-seven million, eighty-seven thousand, eight hundred forty".