800642304 has 216 divisors, whose sum is σ = 2878704192. Its totient is φ = 207912960.

The previous prime is 800642303. The next prime is 800642333. The reversal of 800642304 is 403246008.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800642303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175152 + ... + 179664.

Almost surely, 2^800642304 is an apocalyptic number.

800642304 is a gapful number since it is divisible by the number (84) 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 800642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439352096).

800642304 is an abundant number, since it is smaller than the sum of its proper divisors (2078061888).

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

800642304 is a wasteful number, since it uses less digits than its factorization.

800642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 800642304 is about 28295.6234071632. The cubic root of 800642304 is about 928.5661428519.

The spelling of 800642304 in words is "eight hundred million, six hundred forty-two thousand, three hundred four".