827018774400 has 1536 divisors, whose sum is σ = 3579970867200. Its totient is φ = 162838609920.

The previous prime is 827018774371. The next prime is 827018774401. The reversal of 827018774400 is 4477810728.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 827018774400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827018774401) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3460329481 + ... + 3460329719.

It is an arithmetic number, because the mean of its divisors is an integer number (2330710200).

Almost surely, 2^827018774400 is an apocalyptic number.

827018774400 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 827018774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789985433600).

827018774400 is an abundant number, since it is smaller than the sum of its proper divisors (2752952092800).

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

827018774400 is a wasteful number, since it uses less digits than its factorization.

827018774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The spelling of 827018774400 in words is "eight hundred twenty-seven billion, eighteen million, seven hundred seventy-four thousand, four hundred".