830049600 has 336 divisors, whose sum is σ = 2891332800. Its totient is φ = 208158720.

The previous prime is 830049593. The next prime is 830049617. The reversal of 830049600 is 6940038.

It is a super-3 number, since 3×830049600³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9326356 + ... + 9326444.

Almost surely, 2^830049600 is an apocalyptic number.

830049600 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 830049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445666400).

830049600 is an abundant number, since it is smaller than the sum of its proper divisors (2061283200).

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

830049600 is a wasteful number, since it uses less digits than its factorization.

830049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 830049600 is about 28810.5813894826. The cubic root of 830049600 is about 939.7983572309.

Adding to 830049600 its reverse (6940038), we get a palindrome (836989638).

The spelling of 830049600 in words is "eight hundred thirty million, forty-nine thousand, six hundred".