800180010 has 192 divisors, whose sum is σ = 2446958592. Its totient is φ = 177666048.

The previous prime is 800179997. The next prime is 800180033. The reversal of 800180010 is 10081008.

It is a happy number.

800180010 is a nontrivial binomial coefficient, being equal to C(40005, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 5840662 + ... + 5840798.

It is an arithmetic number, because the mean of its divisors is an integer number (12744576).

Almost surely, 2^800180010 is an apocalyptic number.

800180010 is the 40004-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800180010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223479296).

800180010 is an abundant number, since it is smaller than the sum of its proper divisors (1646778582).

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

800180010 is a wasteful number, since it uses less digits than its factorization.

800180010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 800180010 is about 28287.4532257678. The cubic root of 800180010 is about 928.3873892013.

The spelling of 800180010 in words is "eight hundred million, one hundred eighty thousand, ten".