800468820 has 36 divisors (see below), whose sum is σ = 2428089300. Its totient is φ = 213458304.

The previous prime is 800468777. The next prime is 800468827. The reversal of 800468820 is 28864008.

It can be written as a sum of positive squares in 2 ways, for example, as 159062544 + 641406276 = 12612^2 + 25326^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800468827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2223345 + ... + 2223704.

It is an arithmetic number, because the mean of its divisors is an integer number (67446925).

Almost surely, 2^800468820 is an apocalyptic number.

It is an amenable number.

800468820 is an abundant number, since it is smaller than the sum of its proper divisors (1627620480).

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

800468820 is a wasteful number, since it uses less digits than its factorization.

800468820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447064 (or 4447059 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 800468820 is about 28292.5576786546. The cubic root of 800468820 is about 928.4990704507.

The spelling of 800468820 in words is "eight hundred million, four hundred sixty-eight thousand, eight hundred twenty".