827792064 has 84 divisors (see below), whose sum is σ = 2588437800. Its totient is φ = 250844160.

The previous prime is 827792051. The next prime is 827792081. The reversal of 827792064 is 460297728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58989 + ... + 71660.

Almost surely, 2^827792064 is an apocalyptic number.

It is an amenable number.

827792064 is an abundant number, since it is smaller than the sum of its proper divisors (1760645736).

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

827792064 is a wasteful number, since it uses less digits than its factorization.

827792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130678 (or 130665 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 827792064 is about 28771.3757752388. The cubic root of 827792064 is about 938.9455748685.

The spelling of 827792064 in words is "eight hundred twenty-seven million, seven hundred ninety-two thousand, sixty-four".