827345934720 has 768 divisors, whose sum is σ = 3061071000000. Its totient is φ = 205315375104.

The previous prime is 827345934707. The next prime is 827345934757. The reversal of 827345934720 is 27439543728.

It is a happy number.

827345934720 is a `hidden beast` number, since 8 + 2 + 7 + 3 + 4 + 593 + 47 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1842641056 + ... + 1842641504.

Almost surely, 2^827345934720 is an apocalyptic number.

827345934720 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 827345934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530535500000).

827345934720 is an abundant number, since it is smaller than the sum of its proper divisors (2233725065280).

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

827345934720 is a wasteful number, since it uses less digits than its factorization.

827345934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 827345934720 in words is "eight hundred twenty-seven billion, three hundred forty-five million, nine hundred thirty-four thousand, seven hundred twenty".