820929408 has 64 divisors (see below), whose sum is σ = 2348346000. Its totient is φ = 252592128.

The previous prime is 820929391. The next prime is 820929427. The reversal of 820929408 is 804929028.

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

It is a self number, because there is not a number n which added to its sum of digits gives 820929408.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 77233 + ... + 87216.

Almost surely, 2^820929408 is an apocalyptic number.

It is an amenable number.

820929408 is an abundant number, since it is smaller than the sum of its proper divisors (1527416592).

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

820929408 is a wasteful number, since it uses less digits than its factorization.

820929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164479 (or 164467 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 820929408 is about 28651.8656984148. The cubic root of 820929408 is about 936.3436534889.

The spelling of 820929408 in words is "eight hundred twenty million, nine hundred twenty-nine thousand, four hundred eight".