800106216 has 128 divisors (see below), whose sum is σ = 2485190400. Its totient is φ = 209018880.

The previous prime is 800106191. The next prime is 800106247. The reversal of 800106216 is 612601008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236376 + ... + 239736.

It is an arithmetic number, because the mean of its divisors is an integer number (19415550).

Almost surely, 2^800106216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800106216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242595200).

800106216 is an abundant number, since it is smaller than the sum of its proper divisors (1685084184).

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

800106216 is a wasteful number, since it uses less digits than its factorization.

800106216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 800106216 is about 28286.1488364889. The cubic root of 800106216 is about 928.3588491544.

The spelling of 800106216 in words is "eight hundred million, one hundred six thousand, two hundred sixteen".