830044800 has 384 divisors, whose sum is σ = 3275832000. Its totient is φ = 204042240.

The previous prime is 830044799. The next prime is 830044841. The reversal of 830044800 is 8440038.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122831 + ... + 1123569.

Almost surely, 2^830044800 is an apocalyptic number.

830044800 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 830044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637916000).

830044800 is an abundant number, since it is smaller than the sum of its proper divisors (2445787200).

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

830044800 is a wasteful number, since it uses less digits than its factorization.

830044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 830044800 is about 28810.4980866350. The cubic root of 830044800 is about 939.7965456761.

Adding to 830044800 its reverse (8440038), we get a palindrome (838484838).

The spelling of 830044800 in words is "eight hundred thirty million, forty-four thousand, eight hundred".