829543680 has 504 divisors, whose sum is σ = 3431565312. Its totient is φ = 188116992.

The previous prime is 829543657. The next prime is 829543681. The reversal of 829543680 is 86345928.

829543680 is a `hidden beast` number, since 8 + 29 + 543 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×829543680³ (a number of 28 digits) contains 333 as substring.

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 (829543681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531777 + ... + 6531903.

Almost surely, 2^829543680 is an apocalyptic number.

829543680 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 829543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715782656).

829543680 is an abundant number, since it is smaller than the sum of its proper divisors (2602021632).

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

829543680 is an equidigital number, since it uses as much as digits as its factorization.

829543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 829543680 is about 28801.7999437535. The cubic root of 829543680 is about 939.6073809259.

The spelling of 829543680 in words is "eight hundred twenty-nine million, five hundred forty-three thousand, six hundred eighty".