877820999328000 has 9216 divisors, whose sum is σ = 4304817054720000. Its totient is φ = 176980466073600.

The previous prime is 877820999327959. The next prime is 877820999328001. The reversal of 877820999328000 is 823999028778.

877820999328000 is a `hidden beast` number, since 8 + 7 + 7 + 8 + 209 + 99 + 328 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×877820999328000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 877820999328000.

It is not an unprimeable number, because it can be changed into a prime (877820999328001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 9049701023952 + ... + 9049701024048.

It is an arithmetic number, because the mean of its divisors is an integer number (467102545000).

Almost surely, 2^{877820999328000} is an apocalyptic number.

877820999328000 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 877820999328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152408527360000).

877820999328000 is an abundant number, since it is smaller than the sum of its proper divisors (3426996055392000).

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

877820999328000 is an frugal number, since it uses more digits than its factorization.

877820999328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 877820999328000 in words is "eight hundred seventy-seven trillion, eight hundred twenty billion, nine hundred ninety-nine million, three hundred twenty-eight thousand".