800144320 has 112 divisors (see below), whose sum is σ = 1955901600. Its totient is φ = 311685120.

The previous prime is 800144281. The next prime is 800144327. The reversal of 800144320 is 23441008.

It is a junction number, because it is equal to n+sod(n) for n = 800144291 and 800144300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800144327) 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, 3493966 + ... + 3494194.

Almost surely, 2^800144320 is an apocalyptic number.

800144320 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 800144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977950800).

800144320 is an abundant number, since it is smaller than the sum of its proper divisors (1155757280).

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

800144320 is a wasteful number, since it uses less digits than its factorization.

800144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 800144320 is about 28286.8223736778. The cubic root of 800144320 is about 928.3735862078.

Adding to 800144320 its reverse (23441008), we get a palindrome (823585328).

The spelling of 800144320 in words is "eight hundred million, one hundred forty-four thousand, three hundred twenty".