830558400 has 336 divisors, whose sum is σ = 3280623360. Its totient is φ = 179712000.

The previous prime is 830558369. The next prime is 830558401. The reversal of 830558400 is 4855038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (830558401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637750 + ... + 639050.

It is an arithmetic number, because the mean of its divisors is an integer number (9763760).

Almost surely, 2^830558400 is an apocalyptic number.

830558400 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 830558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640311680).

830558400 is an abundant number, since it is smaller than the sum of its proper divisors (2450064960).

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

830558400 is a wasteful number, since it uses less digits than its factorization.

830558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 830558400 is about 28819.4101258162. The cubic root of 830558400 is about 939.9903424389.

The spelling of 830558400 in words is "eight hundred thirty million, five hundred fifty-eight thousand, four hundred".