800048480 has 144 divisors (see below), whose sum is σ = 2398845456. Its totient is φ = 249338880.

The previous prime is 800048461. The next prime is 800048503. The reversal of 800048480 is 84840008.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81602 + ... + 90878.

It is an arithmetic number, because the mean of its divisors is an integer number (16658649).

Almost surely, 2^800048480 is an apocalyptic number.

800048480 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 800048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199422728).

800048480 is an abundant number, since it is smaller than the sum of its proper divisors (1598796976).

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

800048480 is a wasteful number, since it uses less digits than its factorization.

800048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 9302 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 800048480 is about 28285.1282478973. The cubic root of 800048480 is about 928.3365183627.

Adding to 800048480 its reverse (84840008), we get a palindrome (884888488).

The spelling of 800048480 in words is "eight hundred million, forty-eight thousand, four hundred eighty".