827376216 has 64 divisors (see below), whose sum is σ = 2127513600. Its totient is φ = 268015488.

The previous prime is 827376197. The next prime is 827376229. The reversal of 827376216 is 612673728.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 133065 + ... + 139143.

It is an arithmetic number, because the mean of its divisors is an integer number (33242400).

Almost surely, 2^827376216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827376216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063756800).

827376216 is an abundant number, since it is smaller than the sum of its proper divisors (1300137384).

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

827376216 is a wasteful number, since it uses less digits than its factorization.

827376216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6244 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 827376216 is about 28764.1481014126. The cubic root of 827376216 is about 938.7883195794.

The spelling of 827376216 in words is "eight hundred twenty-seven million, three hundred seventy-six thousand, two hundred sixteen".