800649220 has 72 divisors (see below), whose sum is σ = 1975480920. Its totient is φ = 271756800.

The previous prime is 800649209. The next prime is 800649229. The reversal of 800649220 is 22946008.

It can be written as a sum of positive squares in 4 ways, for example, as 59938564 + 740710656 = 7742^2 + 27216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800649229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94936 + ... + 103024.

It is an arithmetic number, because the mean of its divisors is an integer number (27437235).

Almost surely, 2^800649220 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 800649220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987740460).

800649220 is an abundant number, since it is smaller than the sum of its proper divisors (1174831700).

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

800649220 is a wasteful number, since it uses less digits than its factorization.

800649220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8213 (or 8204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 800649220 is about 28295.7456166117. The cubic root of 800649220 is about 928.5688165156.

The spelling of 800649220 in words is "eight hundred million, six hundred forty-nine thousand, two hundred twenty".