829531680 has 192 divisors, whose sum is σ = 2724575616. Its totient is φ = 211968000.

The previous prime is 829531669. The next prime is 829531687. The reversal of 829531680 is 86135928.

It is not an unprimeable number, because it can be changed into a prime (829531687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200135 + ... + 1200825.

It is an arithmetic number, because the mean of its divisors is an integer number (14190498).

Almost surely, 2^829531680 is an apocalyptic number.

829531680 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 829531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362287808).

829531680 is an abundant number, since it is smaller than the sum of its proper divisors (1895043936).

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

829531680 is a wasteful number, since it uses less digits than its factorization.

829531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 829531680 is about 28801.5916226864. The cubic root of 829531680 is about 939.6028501848.

The spelling of 829531680 in words is "eight hundred twenty-nine million, five hundred thirty-one thousand, six hundred eighty".