7857746256 has 80 divisors (see below), whose sum is σ = 21512908800. Its totient is φ = 2462920704.

The previous prime is 7857746251. The next prime is 7857746257. The reversal of 7857746256 is 6526477587.

It is a junction number, because it is equal to n+sod(n) for n = 7857746196 and 7857746205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7857746251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039900 + ... + 1047428.

It is an arithmetic number, because the mean of its divisors is an integer number (268911360).

Almost surely, 2^7857746256 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 7857746256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10756454400).

7857746256 is an abundant number, since it is smaller than the sum of its proper divisors (13655162544).

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

7857746256 is a wasteful number, since it uses less digits than its factorization.

7857746256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8836 (or 8830 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 57.

The square root of 7857746256 is about 88643.9296060368. The cubic root of 7857746256 is about 1988.0745545413.

The spelling of 7857746256 in words is "seven billion, eight hundred fifty-seven million, seven hundred forty-six thousand, two hundred fifty-six".