800106107766 has 32 divisors (see below), whose sum is σ = 1828861716480. Its totient is φ = 228595775616.

The previous prime is 800106107761. The next prime is 800106107791. The reversal of 800106107766 is 667701601008.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800106107761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528155 + ... + 1983801.

It is an arithmetic number, because the mean of its divisors is an integer number (57151928640).

Almost surely, 2^800106107766 is an apocalyptic number.

800106107766 is an abundant number, since it is smaller than the sum of its proper divisors (1028755608714).

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

800106107766 is a wasteful number, since it uses less digits than its factorization.

800106107766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497468.

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 800106107766 in words is "eight hundred billion, one hundred six million, one hundred seven thousand, seven hundred sixty-six".