800125000000 has 280 divisors, whose sum is σ = 2050107211944. Its totient is φ = 309600000000.

The previous prime is 800124999967. The next prime is 800125000039. The reversal of 800125000000 is 521008.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 38708201536 + 761416798464 = 196744^2 + 872592^2 .

It is a sliding number, since 800125000000 = 125000000 + 800000000000 and 1/125000000 + 1/800000000000 = 0.00000000800125000000.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 39 ways as a sum of consecutive naturals, for example, 4624999914 + ... + 4625000086.

Almost surely, 2^800125000000 is an apocalyptic number.

800125000000 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 800125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025053605972).

800125000000 is an abundant number, since it is smaller than the sum of its proper divisors (1249982211944).

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

800125000000 is an frugal number, since it uses more digits than its factorization.

800125000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 217 counting only the distinct ones).

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

Adding to 800125000000 its reverse (521008), we get a palindrome (800125521008).

It can be divided in two parts, 800 and 125000000, that multiplied together give a 11-th power (100000000000 = 10¹¹).

The spelling of 800125000000 in words is "eight hundred billion, one hundred twenty-five million", and thus it is an aban number.