7856786320 has 80 divisors (see below), whose sum is σ = 18903790080. Its totient is φ = 3033676800.

The previous prime is 7856786297. The next prime is 7856786347. The reversal of 7856786320 is 236876587.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035340 + ... + 1042900.

It is an arithmetic number, because the mean of its divisors is an integer number (236297376).

Almost surely, 2^7856786320 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 7856786320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9451895040).

7856786320 is an abundant number, since it is smaller than the sum of its proper divisors (11047003760).

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

7856786320 is a wasteful number, since it uses less digits than its factorization.

7856786320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The square root of 7856786320 is about 88638.5148792555. The cubic root of 7856786320 is about 1987.9935940049.

The spelling of 7856786320 in words is "seven billion, eight hundred fifty-six million, seven hundred eighty-six thousand, three hundred twenty".