800506781669 has 32 divisors (see below), whose sum is σ = 947872316160. Its totient is φ = 661812383232.

The previous prime is 800506781639. The next prime is 800506781687. The reversal of 800506781669 is 966187605008.

It is a happy number.

It is not a de Polignac number, because 800506781669 - 2²⁴ = 800490004453 is a prime.

It is a super-2 number, since 2×800506781669² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800506781639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21332087 + ... + 21369579.

It is an arithmetic number, because the mean of its divisors is an integer number (29621009880).

Almost surely, 2^800506781669 is an apocalyptic number.

800506781669 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

800506781669 is a deficient number, since it is larger than the sum of its proper divisors (147365534491).

800506781669 is a wasteful number, since it uses less digits than its factorization.

800506781669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38429.

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 800506781669 in words is "eight hundred billion, five hundred six million, seven hundred eighty-one thousand, six hundred sixty-nine".