800823920 has 80 divisors (see below), whose sum is σ = 2017183392. Its totient is φ = 293913600.

The previous prime is 800823911. The next prime is 800824019. The reversal of 800823920 is 29328008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177695 + ... + 182145.

Almost surely, 2^800823920 is an apocalyptic number.

800823920 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 800823920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008591696).

800823920 is an abundant number, since it is smaller than the sum of its proper divisors (1216359472).

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

800823920 is a wasteful number, since it uses less digits than its factorization.

800823920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 800823920 is about 28298.8324847510. The cubic root of 800823920 is about 928.6363488676.

The spelling of 800823920 in words is "eight hundred million, eight hundred twenty-three thousand, nine hundred twenty".