7856831712 has 96 divisors (see below), whose sum is σ = 20901434400. Its totient is φ = 2583871488.

The previous prime is 7856831669. The next prime is 7856831767. The reversal of 7856831712 is 2171386587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 6057048 + ... + 6058344.

It is an arithmetic number, because the mean of its divisors is an integer number (217723275).

Almost surely, 2^7856831712 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 7856831712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450717200).

7856831712 is an abundant number, since it is smaller than the sum of its proper divisors (13044602688).

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

7856831712 is a wasteful number, since it uses less digits than its factorization.

7856831712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2100 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 7856831712 is about 88638.7709301071. The cubic root of 7856831712 is about 1987.9974224927.

The spelling of 7856831712 in words is "seven billion, eight hundred fifty-six million, eight hundred thirty-one thousand, seven hundred twelve".