800219440 has 80 divisors (see below), whose sum is σ = 1920412800. Its totient is φ = 309943296.

The previous prime is 800219437. The next prime is 800219443. The reversal of 800219440 is 44912008.

It is an interprime number because it is at equal distance from previous prime (800219437) and next prime (800219443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 800219399 and 800219408.

It is not an unprimeable number, because it can be changed into a prime (800219443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333766 + ... + 336154.

It is an arithmetic number, because the mean of its divisors is an integer number (24005160).

Almost surely, 2^800219440 is an apocalyptic number.

800219440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960206400).

800219440 is an abundant number, since it is smaller than the sum of its proper divisors (1120193360).

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

800219440 is a wasteful number, since it uses less digits than its factorization.

800219440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 800219440 is about 28288.1501692847. The cubic root of 800219440 is about 928.4026381508.

The spelling of 800219440 in words is "eight hundred million, two hundred nineteen thousand, four hundred forty".