831749760 has 192 divisors, whose sum is σ = 2890653480. Its totient is φ = 220372992.

The previous prime is 831749749. The next prime is 831749761. The reversal of 831749760 is 67947138.

It can be written as a sum of positive squares in 4 ways, for example, as 806105664 + 25644096 = 28392^2 + 5064^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (831749761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134354 + ... + 1135086.

Almost surely, 2^831749760 is an apocalyptic number.

831749760 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 831749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445326740).

831749760 is an abundant number, since it is smaller than the sum of its proper divisors (2058903720).

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

831749760 is a wasteful number, since it uses less digits than its factorization.

831749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 831749760 is about 28840.0721219625. The cubic root of 831749760 is about 940.4395710830.

The spelling of 831749760 in words is "eight hundred thirty-one million, seven hundred forty-nine thousand, seven hundred sixty".