800973096 has 128 divisors (see below), whose sum is σ = 2505461760. Its totient is φ = 207302400.

The previous prime is 800973073. The next prime is 800973097. The reversal of 800973096 is 690379008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (800973097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 677626 + ... + 678806.

It is an arithmetic number, because the mean of its divisors is an integer number (19573920).

Almost surely, 2^800973096 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 800973096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252730880).

800973096 is an abundant number, since it is smaller than the sum of its proper divisors (1704488664).

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

800973096 is a wasteful number, since it uses less digits than its factorization.

800973096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 800973096 is about 28301.4680891292. The cubic root of 800973096 is about 928.6940068420.

The spelling of 800973096 in words is "eight hundred million, nine hundred seventy-three thousand, ninety-six".