829760109132 has 192 divisors, whose sum is σ = 2090093322240. Its totient is φ = 255570771456.

The previous prime is 829760109131. The next prime is 829760109137. The reversal of 829760109132 is 231901067928.

It is not an unprimeable number, because it can be changed into a prime (829760109131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516340273 + ... + 516341879.

It is an arithmetic number, because the mean of its divisors is an integer number (10885902720).

Almost surely, 2^829760109132 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 829760109132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045046661120).

829760109132 is an abundant number, since it is smaller than the sum of its proper divisors (1260333213108).

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

829760109132 is a wasteful number, since it uses less digits than its factorization.

829760109132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 829760109132 in words is "eight hundred twenty-nine billion, seven hundred sixty million, one hundred nine thousand, one hundred thirty-two".