827335420 has 24 divisors (see below), whose sum is σ = 1739039904. Its totient is φ = 330622656.

The previous prime is 827335417. The next prime is 827335423. The reversal of 827335420 is 24533728.

It is an interprime number because it is at equal distance from previous prime (827335417) and next prime (827335423).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827335423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2937 + ... + 40783.

It is an arithmetic number, because the mean of its divisors is an integer number (72459996).

Almost surely, 2^827335420 is an apocalyptic number.

It is an amenable number.

827335420 is an abundant number, since it is smaller than the sum of its proper divisors (911704484).

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

827335420 is a wasteful number, since it uses less digits than its factorization.

827335420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38949 (or 38947 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 827335420 is about 28763.4389459953. The cubic root of 827335420 is about 938.7728895018.

The spelling of 827335420 in words is "eight hundred twenty-seven million, three hundred thirty-five thousand, four hundred twenty".