832430720 has 256 divisors, whose sum is σ = 2331866880. Its totient is φ = 281149440.

The previous prime is 832430719. The next prime is 832430737. The reversal of 832430720 is 27034238.

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 31 ways as a sum of consecutive naturals, for example, 8581712 + ... + 8581808.

It is an arithmetic number, because the mean of its divisors is an integer number (9108855).

Almost surely, 2^832430720 is an apocalyptic number.

832430720 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 832430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165933440).

832430720 is an abundant number, since it is smaller than the sum of its proper divisors (1499436160).

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

832430720 is a wasteful number, since it uses less digits than its factorization.

832430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 832430720 is about 28851.8755022962. The cubic root of 832430720 is about 940.6961494729.

Adding to 832430720 its reverse (27034238), we get a palindrome (859464958).

The spelling of 832430720 in words is "eight hundred thirty-two million, four hundred thirty thousand, seven hundred twenty".