827867877408 has 576 divisors, whose sum is σ = 2822674563072. Its totient is φ = 226860963840.

The previous prime is 827867877377. The next prime is 827867877433. The reversal of 827867877408 is 804778768728.

827867877408 is a `hidden beast` number, since 8 + 2 + 7 + 86 + 78 + 77 + 408 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434119591 + ... + 434121497.

It is an arithmetic number, because the mean of its divisors is an integer number (4900476672).

Almost surely, 2^827867877408 is an apocalyptic number.

827867877408 is a gapful number since it is divisible by the number (88) 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 827867877408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411337281536).

827867877408 is an abundant number, since it is smaller than the sum of its proper divisors (1994806685664).

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

827867877408 is a wasteful number, since it uses less digits than its factorization.

827867877408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 472055808, while the sum is 72.

The spelling of 827867877408 in words is "eight hundred twenty-seven billion, eight hundred sixty-seven million, eight hundred seventy-seven thousand, four hundred eight".