800558640 has 560 divisors, whose sum is σ = 3337339968. Its totient is φ = 174680064.

The previous prime is 800558639. The next prime is 800558653. The reversal of 800558640 is 46855008.

It is a happy number.

800558640 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 5 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 800558595 and 800558604.

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 111 ways as a sum of consecutive naturals, for example, 15104854 + ... + 15104906.

Almost surely, 2^800558640 is an apocalyptic number.

800558640 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 800558640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668669984).

800558640 is an abundant number, since it is smaller than the sum of its proper divisors (2536781328).

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

800558640 is a wasteful number, since it uses less digits than its factorization.

800558640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 800558640 is about 28294.1449773624. The cubic root of 800558640 is about 928.5337978777.

The spelling of 800558640 in words is "eight hundred million, five hundred fifty-eight thousand, six hundred forty".