800756522500 has 135 divisors (see below), whose sum is σ = 1925940351027. Its totient is φ = 291005220000.

The previous prime is 800756522497. The next prime is 800756522513. The reversal of 800756522500 is 5225657008.

The square root of 800756522500 is 894850.

It is a perfect power (a square), and thus also a powerful number.

800756522500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 62779311364 + 737977211136 = 250558^2 + 859056^2 .

It is a super-2 number, since 2×800756522500² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 492166687 + ... + 492168313.

Almost surely, 2^800756522500 is an apocalyptic number.

800756522500 is the 894850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800756522500

800756522500 is an abundant number, since it is smaller than the sum of its proper divisors (1125183828527).

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

800756522500 is an equidigital number, since it uses as much as digits as its factorization.

800756522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 800756522500 in words is "eight hundred billion, seven hundred fifty-six million, five hundred twenty-two thousand, five hundred".