829409280 has 576 divisors, whose sum is σ = 3361176000. Its totient is φ = 173408256.

The previous prime is 829409263. The next prime is 829409293. The reversal of 829409280 is 82904928.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 28600306 + ... + 28600334.

It is an arithmetic number, because the mean of its divisors is an integer number (5835375).

Almost surely, 2^829409280 is an apocalyptic number.

829409280 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 829409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680588000).

829409280 is an abundant number, since it is smaller than the sum of its proper divisors (2531766720).

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

829409280 is a wasteful number, since it uses less digits than its factorization.

829409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 829409280 is about 28799.4666617283. The cubic root of 829409280 is about 939.5566341295.

The spelling of 829409280 in words is "eight hundred twenty-nine million, four hundred nine thousand, two hundred eighty".