832348720 has 160 divisors (see below), whose sum is σ = 2314137600. Its totient is φ = 272391168.

The previous prime is 832348697. The next prime is 832348733. The reversal of 832348720 is 27843238.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 832348720.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1737441 + ... + 1737919.

It is an arithmetic number, because the mean of its divisors is an integer number (14463360).

Almost surely, 2^832348720 is an apocalyptic number.

832348720 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 832348720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157068800).

832348720 is an abundant number, since it is smaller than the sum of its proper divisors (1481788880).

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

832348720 is a wasteful number, since it uses less digits than its factorization.

832348720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 832348720 is about 28850.4544158320. The cubic root of 832348720 is about 940.6652601687.

The spelling of 832348720 in words is "eight hundred thirty-two million, three hundred forty-eight thousand, seven hundred twenty".