801007200 has 432 divisors, whose sum is σ = 3373284096. Its totient is φ = 174873600.

The previous prime is 801007183. The next prime is 801007211. The reversal of 801007200 is 2700108.

It is a super-2 number, since 2×801007200² = 1283225068903680000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1158855 + ... + 1159545.

It is an arithmetic number, because the mean of its divisors is an integer number (7808528).

Almost surely, 2^801007200 is an apocalyptic number.

801007200 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 801007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686642048).

801007200 is an abundant number, since it is smaller than the sum of its proper divisors (2572276896).

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

801007200 is a wasteful number, since it uses less digits than its factorization.

801007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 801007200 is about 28302.0705956296. The cubic root of 801007200 is about 928.7071873642.

Adding to 801007200 its reverse (2700108), we get a palindrome (803707308).

The spelling of 801007200 in words is "eight hundred one million, seven thousand, two hundred".