73100008800 has 1728 divisors, whose sum is σ = 338498334720. Its totient is φ = 14432256000.

The previous prime is 73100008799. The next prime is 73100008841. The reversal of 73100008800 is 880000137.

It is a super-2 number, since 2×73100008800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1198360770 + ... + 1198360830.

It is an arithmetic number, because the mean of its divisors is an integer number (195890240).

Almost surely, 2^73100008800 is an apocalyptic number.

73100008800 is a gapful number since it is divisible by the number (70) 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 73100008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169249167360).

73100008800 is an abundant number, since it is smaller than the sum of its proper divisors (265398325920).

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

73100008800 is a wasteful number, since it uses less digits than its factorization.

73100008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 73100008800 its reverse (880000137), we get a palindrome (73980008937).

The spelling of 73100008800 in words is "seventy-three billion, one hundred million, eight thousand, eight hundred".