831253760 has 72 divisors (see below), whose sum is σ = 2108291976. Its totient is φ = 312934400.

The previous prime is 831253757. The next prime is 831253817. The reversal of 831253760 is 67352138.

It can be written as a sum of positive squares in 4 ways, for example, as 133448704 + 697805056 = 11552^2 + 26416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 831253760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2660 + ... + 40860.

It is an arithmetic number, because the mean of its divisors is an integer number (29281833).

Almost surely, 2^831253760 is an apocalyptic number.

831253760 is a gapful number since it is divisible by the number (80) 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 831253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054145988).

831253760 is an abundant number, since it is smaller than the sum of its proper divisors (1277038216).

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

831253760 is a wasteful number, since it uses less digits than its factorization.

831253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38239 (or 38225 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 831253760 is about 28831.4716932730. The cubic root of 831253760 is about 940.2525954637.

The spelling of 831253760 in words is "eight hundred thirty-one million, two hundred fifty-three thousand, seven hundred sixty".