828385781760 has 960 divisors, whose sum is σ = 3128610925440. Its totient is φ = 209240064000.

The previous prime is 828385781693. The next prime is 828385781771. The reversal of 828385781760 is 67187583828.

828385781760 is a `hidden beast` number, since 8 + 28 + 38 + 578 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3300341635 + ... + 3300341885.

It is an arithmetic number, because the mean of its divisors is an integer number (3258969714).

Almost surely, 2^828385781760 is an apocalyptic number.

828385781760 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 828385781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564305462720).

828385781760 is an abundant number, since it is smaller than the sum of its proper divisors (2300225143680).

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

828385781760 is a wasteful number, since it uses less digits than its factorization.

828385781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 828385781760 in words is "eight hundred twenty-eight billion, three hundred eighty-five million, seven hundred eighty-one thousand, seven hundred sixty".