800593920 has 576 divisors, whose sum is σ = 3403632960. Its totient is φ = 169869312.

The previous prime is 800593919. The next prime is 800593931. The reversal of 800593920 is 29395008.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10967004 + ... + 10967076.

It is an arithmetic number, because the mean of its divisors is an integer number (5909085).

Almost surely, 2^800593920 is an apocalyptic number.

800593920 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 800593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701816480).

800593920 is an abundant number, since it is smaller than the sum of its proper divisors (2603039040).

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

800593920 is a wasteful number, since it uses less digits than its factorization.

800593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 800593920 is about 28294.7684210350. The cubic root of 800593920 is about 928.5474375994.

The spelling of 800593920 in words is "eight hundred million, five hundred ninety-three thousand, nine hundred twenty".