801133200 has 240 divisors, whose sum is σ = 3259096960. Its totient is φ = 183098880.

The previous prime is 801133169. The next prime is 801133219. The reversal of 801133200 is 2331108.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70302 + ... + 80898.

Almost surely, 2^801133200 is an apocalyptic number.

801133200 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 801133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629548480).

801133200 is an abundant number, since it is smaller than the sum of its proper divisors (2457963760).

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

801133200 is a wasteful number, since it uses less digits than its factorization.

801133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10631 (or 10614 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 801133200 is about 28304.2964936421. The cubic root of 801133200 is about 928.7558806304.

Adding to 801133200 its reverse (2331108), we get a palindrome (803464308).

The spelling of 801133200 in words is "eight hundred one million, one hundred thirty-three thousand, two hundred".