820176768 has 48 divisors (see below), whose sum is σ = 2360147400. Its totient is φ = 273391872.

The previous prime is 820176739. The next prime is 820176787. The reversal of 820176768 is 867671028.

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 354828 + ... + 357131.

Almost surely, 2^820176768 is an apocalyptic number.

It is an amenable number.

820176768 is an abundant number, since it is smaller than the sum of its proper divisors (1539970632).

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

820176768 is a wasteful number, since it uses less digits than its factorization.

820176768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711979 (or 711964 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 820176768 is about 28638.7284633938. The cubic root of 820176768 is about 936.0574148432.

The spelling of 820176768 in words is "eight hundred twenty million, one hundred seventy-six thousand, seven hundred sixty-eight".