832805940000 has 480 divisors, whose sum is σ = 2863841327424. Its totient is φ = 211599360000.

The previous prime is 832805939983. The next prime is 832805940007. The reversal of 832805940000 is 49508238.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (832805940007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105776064 + ... + 105783936.

Almost surely, 2^832805940000 is an apocalyptic number.

832805940000 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 832805940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431920663712).

832805940000 is an abundant number, since it is smaller than the sum of its proper divisors (2031035387424).

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

832805940000 is a wasteful number, since it uses less digits than its factorization.

832805940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 832805940000 in words is "eight hundred thirty-two billion, eight hundred five million, nine hundred forty thousand".