830742 has 32 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 244800.

The previous prime is 830741. The next prime is 830743. The reversal of 830742 is 247038.

830742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (830741) and next prime (830743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830741) 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, 2553 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (58212).

2⁸³⁰⁷⁴² is an apocalyptic number.

830742 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 830742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

830742 is an abundant number, since it is smaller than the sum of its proper divisors (1032042).

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

830742 is a wasteful number, since it uses less digits than its factorization.

830742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364.

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

The square root of 830742 is about 911.4504923472. The cubic root of 830742 is about 94.0059600869.

The spelling of 830742 in words is "eight hundred thirty thousand, seven hundred forty-two".