830442800 has 120 divisors (see below), whose sum is σ = 2235778032. Its totient is φ = 293760000.

The previous prime is 830442797. The next prime is 830442803. The reversal of 830442800 is 8244038.

It is an interprime number because it is at equal distance from previous prime (830442797) and next prime (830442803).

It is not an unprimeable number, because it can be changed into a prime (830442803) 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, 160250 + ... + 165350.

Almost surely, 2^830442800 is an apocalyptic number.

830442800 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 830442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117889016).

830442800 is an abundant number, since it is smaller than the sum of its proper divisors (1405335232).

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

830442800 is a wasteful number, since it uses less digits than its factorization.

830442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 830442800 is about 28817.4044632753. The cubic root of 830442800 is about 939.9467300430.

Adding to 830442800 its reverse (8244038), we get a palindrome (838686838).

The spelling of 830442800 in words is "eight hundred thirty million, four hundred forty-two thousand, eight hundred".