830777792832 has 252 divisors, whose sum is σ = 2592098106624. Its totient is φ = 254279900160.

The previous prime is 830777792773. The next prime is 830777792849. The reversal of 830777792832 is 238297777038.

It is a self number, because there is not a number n which added to its sum of digits gives 830777792832.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 18570363 + ... + 18615045.

Almost surely, 2^830777792832 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 830777792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296049053312).

830777792832 is an abundant number, since it is smaller than the sum of its proper divisors (1761320313792).

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

830777792832 is a wasteful number, since it uses less digits than its factorization.

830777792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44918 (or 44892 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 830777792832 in words is "eight hundred thirty billion, seven hundred seventy-seven million, seven hundred ninety-two thousand, eight hundred thirty-two".