829430880 has 96 divisors (see below), whose sum is σ = 2631986784. Its totient is φ = 219549696.

The previous prime is 829430851. The next prime is 829430893. The reversal of 829430880 is 88034928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59454 + ... + 72066.

It is an arithmetic number, because the mean of its divisors is an integer number (27416529).

Almost surely, 2^829430880 is an apocalyptic number.

829430880 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 829430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315993392).

829430880 is an abundant number, since it is smaller than the sum of its proper divisors (1802555904).

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

829430880 is a wasteful number, since it uses less digits than its factorization.

829430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12768 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 829430880 is about 28799.8416662314. The cubic root of 829430880 is about 939.5647902343.

The spelling of 829430880 in words is "eight hundred twenty-nine million, four hundred thirty thousand, eight hundred eighty".