73804588900 has 81 divisors (see below), whose sum is σ = 186351885867. Its totient is φ = 25297910400.

The previous prime is 73804588853. The next prime is 73804588909. The reversal of 73804588900 is 988540837.

The square root of 73804588900 is 271670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7606564 + 73796982336 = 2758^2 + 271656^2 .

It is not an unprimeable number, because it can be changed into a prime (73804588909) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 19014960 + ... + 19018840.

Almost surely, 2^73804588900 is an apocalyptic number.

73804588900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73804588900 is the 271670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73804588900

73804588900 is an abundant number, since it is smaller than the sum of its proper divisors (112547296967).

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

73804588900 is an equidigital number, since it uses as much as digits as its factorization.

73804588900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 73804588900 in words is "seventy-three billion, eight hundred four million, five hundred eighty-eight thousand, nine hundred".