829255680 has 312 divisors, whose sum is σ = 3143378160. Its totient is φ = 200540160.

The previous prime is 829255607. The next prime is 829255681. The reversal of 829255680 is 86552928.

829255680 is a `hidden beast` number, since 8 + 2 + 92 + 556 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829255681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2027316 + ... + 2027724.

It is an arithmetic number, because the mean of its divisors is an integer number (10074930).

Almost surely, 2^829255680 is an apocalyptic number.

829255680 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 829255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571689080).

829255680 is an abundant number, since it is smaller than the sum of its proper divisors (2314122480).

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

829255680 is a wasteful number, since it uses less digits than its factorization.

829255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 829255680 is about 28796.7998222025. The cubic root of 829255680 is about 939.4986310776.

The spelling of 829255680 in words is "eight hundred twenty-nine million, two hundred fifty-five thousand, six hundred eighty".