827442816 has 64 divisors (see below), whose sum is σ = 2200890720. Its totient is φ = 275438592.

The previous prime is 827442769. The next prime is 827442817. The reversal of 827442816 is 618244728.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×827442816² = 1369323227500019712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (827442817) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 557211 + ... + 558693.

Almost surely, 2^827442816 is an apocalyptic number.

It is an amenable number.

827442816 is an abundant number, since it is smaller than the sum of its proper divisors (1373447904).

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

827442816 is a wasteful number, since it uses less digits than its factorization.

827442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2941 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 827442816 is about 28765.3057692770. The cubic root of 827442816 is about 938.8135082918.

The spelling of 827442816 in words is "eight hundred twenty-seven million, four hundred forty-two thousand, eight hundred sixteen".