801280800 has 216 divisors, whose sum is σ = 2854231380. Its totient is φ = 211507200.

The previous prime is 801280763. The next prime is 801280801. The reversal of 801280800 is 8082108.

It can be written as a sum of positive squares in 6 ways, for example, as 401120784 + 400160016 = 20028^2 + 20004^2 .

It is not an unprimeable number, because it can be changed into a prime (801280801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 784290 + ... + 785310.

Almost surely, 2^801280800 is an apocalyptic number.

801280800 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 801280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427115690).

801280800 is an abundant number, since it is smaller than the sum of its proper divisors (2052950580).

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

801280800 is a wasteful number, since it uses less digits than its factorization.

801280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 801280800 is about 28306.9037515586. The cubic root of 801280800 is about 928.8129148206.

The spelling of 801280800 in words is "eight hundred one million, two hundred eighty thousand, eight hundred".