829342080 has 384 divisors, whose sum is σ = 3332609280. Its totient is φ = 186126336.

The previous prime is 829342061. The next prime is 829342103. The reversal of 829342080 is 80243928.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2701287 + ... + 2701593.

It is an arithmetic number, because the mean of its divisors is an integer number (8678670).

Almost surely, 2^829342080 is an apocalyptic number.

829342080 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 829342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666304640).

829342080 is an abundant number, since it is smaller than the sum of its proper divisors (2503267200).

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

829342080 is a wasteful number, since it uses less digits than its factorization.

829342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 829342080 is about 28798.2999498234. The cubic root of 829342080 is about 939.5312586755.

The spelling of 829342080 in words is "eight hundred twenty-nine million, three hundred forty-two thousand, eighty".