800322124800 has 264 divisors, whose sum is σ = 2885573561472. Its totient is φ = 194017280000.

The previous prime is 800322124793. The next prime is 800322124801. The reversal of 800322124800 is 8421223008.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800322124801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371125 + ... + 1318475.

Almost surely, 2^800322124800 is an apocalyptic number.

800322124800 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 800322124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442786780736).

800322124800 is an abundant number, since it is smaller than the sum of its proper divisors (2085251436672).

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

800322124800 is a wasteful number, since it uses less digits than its factorization.

800322124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947395 (or 947372 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 800322124800 its reverse (8421223008), we get a palindrome (808743347808).

The spelling of 800322124800 in words is "eight hundred billion, three hundred twenty-two million, one hundred twenty-four thousand, eight hundred".