829876320 has 384 divisors, whose sum is σ = 3576545280. Its totient is φ = 175011840.

The previous prime is 829876309. The next prime is 829876331. The reversal of 829876320 is 23678928.

829876320 is a `hidden beast` number, since 8 + 2 + 9 + 8 + 7 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (829876309) and next prime (829876331).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392065 + ... + 394175.

It is an arithmetic number, because the mean of its divisors is an integer number (9313920).

Almost surely, 2^829876320 is an apocalyptic number.

829876320 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 829876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788272640).

829876320 is an abundant number, since it is smaller than the sum of its proper divisors (2746668960).

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

829876320 is a wasteful number, since it uses less digits than its factorization.

829876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 829876320 is about 28807.5740040705. The cubic root of 829876320 is about 939.7329556803.

The spelling of 829876320 in words is "eight hundred twenty-nine million, eight hundred seventy-six thousand, three hundred twenty".