827942976 has 336 divisors, whose sum is σ = 2944221696. Its totient is φ = 217055232.

The previous prime is 827942957. The next prime is 827942981. The reversal of 827942976 is 679249728.

827942976 is a `hidden beast` number, since 82 + 79 + 429 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 3221440 + ... + 3221696.

Almost surely, 2^827942976 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 827942976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472110848).

827942976 is an abundant number, since it is smaller than the sum of its proper divisors (2116278720).

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

827942976 is a wasteful number, since it uses less digits than its factorization.

827942976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 827942976 is about 28773.9982623201. The cubic root of 827942976 is about 939.0026300763.

The spelling of 827942976 in words is "eight hundred twenty-seven million, nine hundred forty-two thousand, nine hundred seventy-six".