801320083200 has 1728 divisors, whose sum is σ = 3653416166400. Its totient is φ = 167347814400.

The previous prime is 801320083189. The next prime is 801320083217. The reversal of 801320083200 is 2380023108.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×801320083200² (a number of 25 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2059948606 + ... + 2059948994.

Almost surely, 2^801320083200 is an apocalyptic number.

801320083200 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 801320083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826708083200).

801320083200 is an abundant number, since it is smaller than the sum of its proper divisors (2852096083200).

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

801320083200 is a wasteful number, since it uses less digits than its factorization.

801320083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 801320083200 in words is "eight hundred one billion, three hundred twenty million, eighty-three thousand, two hundred".