800219648 has 80 divisors (see below), whose sum is σ = 1713606840. Its totient is φ = 371982336.

The previous prime is 800219579. The next prime is 800219663. The reversal of 800219648 is 846912008.

It can be written as a sum of positive squares in 4 ways, for example, as 790284544 + 9935104 = 28112^2 + 3152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774140 + ... + 775172.

Almost surely, 2^800219648 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 800219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856803420).

800219648 is an abundant number, since it is smaller than the sum of its proper divisors (913387192).

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

800219648 is a wasteful number, since it uses less digits than its factorization.

800219648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 800219648 is about 28288.1538457355. The cubic root of 800219648 is about 928.4027185902.

The spelling of 800219648 in words is "eight hundred million, two hundred nineteen thousand, six hundred forty-eight".