800125 has 16 divisors (see below), whose sum is σ = 1031472. Its totient is φ = 619200.

The previous prime is 800123. The next prime is 800131. The reversal of 800125 is 521008.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15129 + 784996 = 123^2 + 886^2 .

It is a sliding number, since 800125 = 125 + 800000 and 1/125 + 1/800000 = 0.00800125.

It is not a de Polignac number, because 800125 - 2¹ = 800123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 800099 and 800108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800123) 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, 4539 + ... + 4711.

It is an arithmetic number, because the mean of its divisors is an integer number (64467).

2⁸⁰⁰¹²⁵ is an apocalyptic number.

It is an amenable number.

800125 is a deficient number, since it is larger than the sum of its proper divisors (231347).

800125 is a wasteful number, since it uses less digits than its factorization.

800125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 800125 is about 894.4970653949. The cubic root of 800125 is about 92.8366114088.

It can be divided in two parts, 800 and 125, that multiplied together give a 5-th power (100000 = 10⁵).

The spelling of 800125 in words is "eight hundred thousand, one hundred twenty-five".