800010120 has 256 divisors, whose sum is σ = 3004807680. Its totient is φ = 165888000.

The previous prime is 800010103. The next prime is 800010121. The reversal of 800010120 is 21010008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 800010096 and 800010105.

It is not an unprimeable number, because it can be changed into a prime (800010121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665520 + ... + 666720.

It is an arithmetic number, because the mean of its divisors is an integer number (11737530).

Almost surely, 2^800010120 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 800010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502403840).

800010120 is an abundant number, since it is smaller than the sum of its proper divisors (2204797560).

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

800010120 is a wasteful number, since it uses less digits than its factorization.

800010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 800010120 is about 28284.4501449118. The cubic root of 800010120 is about 928.3216811126.

Adding to 800010120 its reverse (21010008), we get a palindrome (821020128).

The spelling of 800010120 in words is "eight hundred million, ten thousand, one hundred twenty".