800360000 has 280 divisors, whose sum is σ = 2313834336. Its totient is φ = 271360000.

The previous prime is 800359993. The next prime is 800360021. The reversal of 800360000 is 63008.

It is a happy number.

It is a super-2 number, since 2×800360000² = 1281152259200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7479947 + ... + 7480053.

Almost surely, 2^800360000 is an apocalyptic number.

800360000 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 800360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156917168).

800360000 is an abundant number, since it is smaller than the sum of its proper divisors (1513474336).

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

800360000 is a wasteful number, since it uses less digits than its factorization.

800360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 800360000 is about 28290.6344927080. The cubic root of 800360000 is about 928.4569935056.

The spelling of 800360000 in words is "eight hundred million, three hundred sixty thousand".