800520192 has 192 divisors, whose sum is σ = 2453068800. Its totient is φ = 257679360.

The previous prime is 800520187. The next prime is 800520199. The reversal of 800520192 is 291025008.

800520192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800520199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713943 + ... + 1714409.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 2^800520192 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 800520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226534400).

800520192 is an abundant number, since it is smaller than the sum of its proper divisors (1652548608).

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

800520192 is a wasteful number, since it uses less digits than its factorization.

800520192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 800520192 is about 28293.4655353493. The cubic root of 800520192 is about 928.5189329083.

Subtracting from 800520192 its reverse (291025008), we obtain a square (509495184 = 22572²).

The spelling of 800520192 in words is "eight hundred million, five hundred twenty thousand, one hundred ninety-two".