829090080 has 960 divisors, whose sum is σ = 3893218560. Its totient is φ = 161243136.

The previous prime is 829090057. The next prime is 829090123. The reversal of 829090080 is 80090928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22407822 + ... + 22407858.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^829090080 is an apocalyptic number.

829090080 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 829090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946609280).

829090080 is an abundant number, since it is smaller than the sum of its proper divisors (3064128480).

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

829090080 is a wasteful number, since it uses less digits than its factorization.

829090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 829090080 is about 28793.9243591422. The cubic root of 829090080 is about 939.4360885130.

The spelling of 829090080 in words is "eight hundred twenty-nine million, ninety thousand, eighty".