830724 has 24 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 269280.

The previous prime is 830719. The next prime is 830729. The reversal of 830724 is 427038.

It is an interprime number because it is at equal distance from previous prime (830719) and next prime (830729).

It is a junction number, because it is equal to n+sod(n) for n = 830694 and 830703.

It is not an unprimeable number, because it can be changed into a prime (830729) by changing a digit.

830724 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 7 ways as a sum of consecutive naturals, for example, 492 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

2⁸³⁰⁷²⁴ is an apocalyptic number.

It is an amenable number.

830724 is an abundant number, since it is smaller than the sum of its proper divisors (1161084).

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

830724 is a wasteful number, since it uses less digits than its factorization.

830724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 830724 is about 911.4406179231. The cubic root of 830724 is about 94.0052811278.

The spelling of 830724 in words is "eight hundred thirty thousand, seven hundred twenty-four".