800976000 has 512 divisors, whose sum is σ = 3047466240. Its totient is φ = 184320000.

The previous prime is 800975993. The next prime is 800976013. The reversal of 800976000 is 679008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 19535980 + ... + 19536020.

Almost surely, 2^800976000 is an apocalyptic number.

800976000 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 800976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

800976000 is an abundant number, since it is smaller than the sum of its proper divisors (2246490240).

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

800976000 is a wasteful number, since it uses less digits than its factorization.

800976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 800976000 is about 28301.5193938417. The cubic root of 800976000 is about 928.6951291952.

The spelling of 800976000 in words is "eight hundred million, nine hundred seventy-six thousand".