829366820 has 24 divisors (see below), whose sum is σ = 1752362304. Its totient is φ = 329710176.

The previous prime is 829366817. The next prime is 829366823. The reversal of 829366820 is 28663928.

It is an interprime number because it is at equal distance from previous prime (829366817) and next prime (829366823).

It is not an unprimeable number, because it can be changed into a prime (829366823) 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, 123944 + ... + 130463.

It is an arithmetic number, because the mean of its divisors is an integer number (73015096).

Almost surely, 2^829366820 is an apocalyptic number.

It is an amenable number.

829366820 is an abundant number, since it is smaller than the sum of its proper divisors (922995484).

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

829366820 is a wasteful number, since it uses less digits than its factorization.

829366820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254579 (or 254577 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 829366820 is about 28798.7294858645. The cubic root of 829366820 is about 939.5406009291.

The spelling of 829366820 in words is "eight hundred twenty-nine million, three hundred sixty-six thousand, eight hundred twenty".