827781120000 has 800 divisors, whose sum is σ = 3096561517500. Its totient is φ = 220299264000.

The previous prime is 827781119993. The next prime is 827781120007. The reversal of 827781120000 is 21187728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (827781119993) and next prime (827781120007).

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827781120007) 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 49 ways as a sum of consecutive naturals, for example, 1658879751 + ... + 1658880249.

Almost surely, 2^827781120000 is an apocalyptic number.

827781120000 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 827781120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548280758750).

827781120000 is an abundant number, since it is smaller than the sum of its proper divisors (2268780397500).

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

827781120000 is an frugal number, since it uses more digits than its factorization.

827781120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 827781120000 in words is "eight hundred twenty-seven billion, seven hundred eighty-one million, one hundred twenty thousand".