800888448 has 64 divisors (see below), whose sum is σ = 2148120000. Its totient is φ = 264357888.

The previous prime is 800888443. The next prime is 800888467. The reversal of 800888448 is 844888008.

800888448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×800888448² = 1282844612279697408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 800888397 and 800888406.

It is not an unprimeable number, because it can be changed into a prime (800888443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29428 + ... + 49676.

It is an arithmetic number, because the mean of its divisors is an integer number (33564375).

Almost surely, 2^800888448 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 800888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074060000).

800888448 is an abundant number, since it is smaller than the sum of its proper divisors (1347231552).

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

800888448 is a wasteful number, since it uses less digits than its factorization.

800888448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20369 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The square root of 800888448 is about 28299.9725794920. The cubic root of 800888448 is about 928.6612904457.

The spelling of 800888448 in words is "eight hundred million, eight hundred eighty-eight thousand, four hundred forty-eight".