820476993 has 16 divisors (see below), whose sum is σ = 1258646400. Its totient is φ = 465695616.

The previous prime is 820476983. The next prime is 820476997. The reversal of 820476993 is 399674028.

820476993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820476993 - 2⁴ = 820476977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820476997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127980 + ... + 134237.

It is an arithmetic number, because the mean of its divisors is an integer number (78665400).

Almost surely, 2^820476993 is an apocalyptic number.

It is an amenable number.

820476993 is a deficient number, since it is larger than the sum of its proper divisors (438169407).

820476993 is a wasteful number, since it uses less digits than its factorization.

820476993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262376.

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 820476993 is about 28643.9695747639. The cubic root of 820476993 is about 936.1716152470.

The spelling of 820476993 in words is "eight hundred twenty million, four hundred seventy-six thousand, nine hundred ninety-three".