800125920 has 144 divisors (see below), whose sum is σ = 2978709552. Its totient is φ = 193966080.

The previous prime is 800125919. The next prime is 800125973. The reversal of 800125920 is 29521008.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 9417 + ... + 41096.

It is an arithmetic number, because the mean of its divisors is an integer number (20685483).

Almost surely, 2^800125920 is an apocalyptic number.

800125920 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 800125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489354776).

800125920 is an abundant number, since it is smaller than the sum of its proper divisors (2178583632).

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

800125920 is a wasteful number, since it uses less digits than its factorization.

800125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50545 (or 50534 counting only the distinct ones).

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

The square root of 800125920 is about 28286.4971320240. The cubic root of 800125920 is about 928.3664699062.

Adding to 800125920 its reverse (29521008), we get a palindrome (829646928).

The spelling of 800125920 in words is "eight hundred million, one hundred twenty-five thousand, nine hundred twenty".