800928000 has 432 divisors, whose sum is σ = 3017728896. Its totient is φ = 211507200.

The previous prime is 800927971. The next prime is 800928001. The reversal of 800928000 is 829008.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×800928000² = 1282971322368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (800928001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775949 + ... + 7776051.

Almost surely, 2^800928000 is an apocalyptic number.

800928000 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 800928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508864448).

800928000 is an abundant number, since it is smaller than the sum of its proper divisors (2216800896).

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

800928000 is an equidigital number, since it uses as much as digits as its factorization.

800928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 800928000 is about 28300.6713701283. The cubic root of 800928000 is about 928.6765775546.

The spelling of 800928000 in words is "eight hundred million, nine hundred twenty-eight thousand".