800551080 has 256 divisors, whose sum is σ = 3229632000. Its totient is φ = 172191744.

The previous prime is 800551051. The next prime is 800551109. The reversal of 800551080 is 80155008.

It is an interprime number because it is at equal distance from previous prime (800551051) and next prime (800551109).

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

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, 125406 + ... + 131634.

It is an arithmetic number, because the mean of its divisors is an integer number (12615750).

Almost surely, 2^800551080 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 800551080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614816000).

800551080 is an abundant number, since it is smaller than the sum of its proper divisors (2429080920).

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

800551080 is a wasteful number, since it uses less digits than its factorization.

800551080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 800551080 is about 28294.0113805024. The cubic root of 800551080 is about 928.5308750280.

The spelling of 800551080 in words is "eight hundred million, five hundred fifty-one thousand, eighty".