832326400 has 54 divisors (see below), whose sum is σ = 2060153732. Its totient is φ = 332928000.

The previous prime is 832326389. The next prime is 832326401. The reversal of 832326400 is 4623238.

It is a super-2 number, since 2×832326400² = 1385534472273920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (832326401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58626 + ... + 71425.

Almost surely, 2^832326400 is an apocalyptic number.

832326400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

832326400 is an abundant number, since it is smaller than the sum of its proper divisors (1227827332).

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

832326400 is a wasteful number, since it uses less digits than its factorization.

832326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130077 (or 130058 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 832326400 is about 28850.0675909087. The cubic root of 832326400 is about 940.6568518995.

Adding to 832326400 its reverse (4623238), we get a palindrome (836949638).

The spelling of 832326400 in words is "eight hundred thirty-two million, three hundred twenty-six thousand, four hundred".