832042778112 has 960 divisors, whose sum is σ = 3038555520000. Its totient is φ = 214636511232.

The previous prime is 832042778069. The next prime is 832042778129. The reversal of 832042778112 is 211877240238.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4181119389 + ... + 4181119587.

It is an arithmetic number, because the mean of its divisors is an integer number (3165162000).

Almost surely, 2^832042778112 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 832042778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519277760000).

832042778112 is an abundant number, since it is smaller than the sum of its proper divisors (2206512741888).

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

832042778112 is a wasteful number, since it uses less digits than its factorization.

832042778112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 832042778112 in words is "eight hundred thirty-two billion, forty-two million, seven hundred seventy-eight thousand, one hundred twelve".