801084211200 has 1632 divisors, whose sum is σ = 3640628096000. Its totient is φ = 168170618880.

The previous prime is 801084211183. The next prime is 801084211219. The reversal of 801084211200 is 2112480108.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4025548701 + ... + 4025548899.

Almost surely, 2^801084211200 is an apocalyptic number.

801084211200 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 801084211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820314048000).

801084211200 is an abundant number, since it is smaller than the sum of its proper divisors (2839543884800).

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

801084211200 is a wasteful number, since it uses less digits than its factorization.

801084211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 801084211200 its reverse (2112480108), we get a palindrome (803196691308).

The spelling of 801084211200 in words is "eight hundred one billion, eighty-four million, two hundred eleven thousand, two hundred".