832038480 has 800 divisors, whose sum is σ = 3811256064. Its totient is φ = 163233792.

The previous prime is 832038479. The next prime is 832038503. The reversal of 832038480 is 84830238.

It is a happy number.

832038480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10024519 + ... + 10024601.

Almost surely, 2^832038480 is an apocalyptic number.

832038480 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 832038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905628032).

832038480 is an abundant number, since it is smaller than the sum of its proper divisors (2979217584).

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

832038480 is a wasteful number, since it uses less digits than its factorization.

832038480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 832038480 is about 28845.0772229856. The cubic root of 832038480 is about 940.5483747620.

The spelling of 832038480 in words is "eight hundred thirty-two million, thirty-eight thousand, four hundred eighty".