827335680 has 176 divisors, whose sum is σ = 2692607424. Its totient is φ = 216760320.

The previous prime is 827335667. The next prime is 827335681. The reversal of 827335680 is 86533728.

It is not an unprimeable number, because it can be changed into a prime (827335681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936519 + ... + 937401.

Almost surely, 2^827335680 is an apocalyptic number.

827335680 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 827335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346303712).

827335680 is an abundant number, since it is smaller than the sum of its proper divisors (1865271744).

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

827335680 is a wasteful number, since it uses less digits than its factorization.

827335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 827335680 is about 28763.4434656214. The cubic root of 827335680 is about 938.7729878419.

The spelling of 827335680 in words is "eight hundred twenty-seven million, three hundred thirty-five thousand, six hundred eighty".