800730000 has 600 divisors, whose sum is σ = 3384116736. Its totient is φ = 172800000.

The previous prime is 800729983. The next prime is 800730011. The reversal of 800730000 is 37008.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19529980 + ... + 19530020.

Almost surely, 2^800730000 is an apocalyptic number.

800730000 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 800730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692058368).

800730000 is an abundant number, since it is smaller than the sum of its proper divisors (2583386736).

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

800730000 is a wasteful number, since it uses less digits than its factorization.

800730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 800730000 is about 28297.1730036765. The cubic root of 800730000 is about 928.6000442013.

Adding to 800730000 its reverse (37008), we get a palindrome (800767008).

The spelling of 800730000 in words is "eight hundred million, seven hundred thirty thousand".