800620800 has 648 divisors, whose sum is σ = 3293914176. Its totient is φ = 170311680.

The previous prime is 800620789. The next prime is 800620811. The reversal of 800620800 is 8026008.

It is an interprime number because it is at equal distance from previous prime (800620789) and next prime (800620811).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21638382 + ... + 21638418.

Almost surely, 2^800620800 is an apocalyptic number.

800620800 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 800620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646957088).

800620800 is an abundant number, since it is smaller than the sum of its proper divisors (2493293376).

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

800620800 is a wasteful number, since it uses less digits than its factorization.

800620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 800620800 is about 28295.2434165179. The cubic root of 800620800 is about 928.5578294993.

Adding to 800620800 its reverse (8026008), we get a palindrome (808646808).

The spelling of 800620800 in words is "eight hundred million, six hundred twenty thousand, eight hundred".