832800120 has 128 divisors (see below), whose sum is σ = 2593658880. Its totient is φ = 213696000.

The previous prime is 832800103. The next prime is 832800127. The reversal of 832800120 is 21008238.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832800127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784390 + ... + 785450.

It is an arithmetic number, because the mean of its divisors is an integer number (20262960).

Almost surely, 2^832800120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832800120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296829440).

832800120 is an abundant number, since it is smaller than the sum of its proper divisors (1760858760).

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

832800120 is a wasteful number, since it uses less digits than its factorization.

832800120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 832800120 is about 28858.2764558107. The cubic root of 832800120 is about 940.8352768744.

Adding to 832800120 its reverse (21008238), we get a palindrome (853808358).

The spelling of 832800120 in words is "eight hundred thirty-two million, eight hundred thousand, one hundred twenty".