830760 has 128 divisors (see below), whose sum is σ = 3041280. Its totient is φ = 177408.

The previous prime is 830743. The next prime is 830777. The reversal of 830760 is 67038.

It is an interprime number because it is at equal distance from previous prime (830743) and next prime (830777).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 830760.

It is a congruent number.

It is an unprimeable number.

830760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19299 + ... + 19341.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2⁸³⁰⁷⁶⁰ 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 830760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520640).

830760 is an abundant number, since it is smaller than the sum of its proper divisors (2210520).

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

830760 is a wasteful number, since it uses less digits than its factorization.

830760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 830760 is about 911.4603666644. The cubic root of 830760 is about 94.0066390361.

Adding to 830760 its reverse (67038), we get a palindrome (897798).

The spelling of 830760 in words is "eight hundred thirty thousand, seven hundred sixty".