830881800 has 480 divisors, whose sum is σ = 3500133120. Its totient is φ = 178329600.

The previous prime is 830881759. The next prime is 830881801. The reversal of 830881800 is 8188038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (830881801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1927585 + ... + 1928015.

It is an arithmetic number, because the mean of its divisors is an integer number (7291944).

Almost surely, 2^830881800 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 830881800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750066560).

830881800 is an abundant number, since it is smaller than the sum of its proper divisors (2669251320).

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

830881800 is a wasteful number, since it uses less digits than its factorization.

830881800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 830881800 is about 28825.0203816060. The cubic root of 830881800 is about 940.1123300195.

The spelling of 830881800 in words is "eight hundred thirty million, eight hundred eighty-one thousand, eight hundred".