800972800 has 84 divisors (see below), whose sum is σ = 1986799176. Its totient is φ = 320307200.

The previous prime is 800972791. The next prime is 800972801. The reversal of 800972800 is 8279008.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800972801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 202845 + ... + 206755.

Almost surely, 2^800972800 is an apocalyptic number.

800972800 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 800972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993399588).

800972800 is an abundant number, since it is smaller than the sum of its proper divisors (1185826376).

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

800972800 is an equidigital number, since it uses as much as digits as its factorization.

800972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 800972800 is about 28301.4628597180. The cubic root of 800972800 is about 928.6938924422.

The spelling of 800972800 in words is "eight hundred million, nine hundred seventy-two thousand, eight hundred".