800415000 has 720 divisors, whose sum is σ = 3552456600. Its totient is φ = 166320000.

The previous prime is 800414999. The next prime is 800415023. The reversal of 800415000 is 514008.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 72764995 + ... + 72765005.

Almost surely, 2^800415000 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 800415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776228300).

800415000 is an abundant number, since it is smaller than the sum of its proper divisors (2752041600).

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

800415000 is a wasteful number, since it uses less digits than its factorization.

800415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 800415000 is about 28291.6065291457. The cubic root of 800415000 is about 928.4782605875.

Adding to 800415000 its reverse (514008), we get a palindrome (800929008).

The spelling of 800415000 in words is "eight hundred million, four hundred fifteen thousand".