800125000 has 112 divisors (see below), whose sum is σ = 1937084580. Its totient is φ = 309600000.

The previous prime is 800124977. The next prime is 800125013. The reversal of 800125000 is 521008.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 366569316 + 433555684 = 19146^2 + 20822^2 .

It is a sliding number, since 800125000 = 125000 + 800000000 and 1/125000 + 1/800000000 = 0.00000800125000.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4624914 + ... + 4625086.

Almost surely, 2^800125000 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 800125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968542290).

800125000 is an abundant number, since it is smaller than the sum of its proper divisors (1136959580).

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

800125000 is an equidigital number, since it uses as much as digits as its factorization.

800125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 217 counting only the distinct ones).

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

The square root of 800125000 is about 28286.4808698431. The cubic root of 800125000 is about 928.3661140882.

Adding to 800125000 its reverse (521008), we get a palindrome (800646008).

It can be divided in two parts, 800 and 125000, that multiplied together give a 8-th power (100000000 = 10⁸).

The spelling of 800125000 in words is "eight hundred million, one hundred twenty-five thousand".