789272328100 has 81 divisors (see below), whose sum is σ = 1737932324457. Its totient is φ = 311128289280.

The previous prime is 789272328037. The next prime is 789272328109. The reversal of 789272328100 is 1823272987.

It is a happy number.

The square root of 789272328100 is 888410.

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

It can be written as a sum of positive squares in 13 ways, for example, as 577973980516 + 211298347584 = 760246^2 + 459672^2 .

It is a super-3 number, since 3×789272328100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (789272328109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 648538692 + ... + 648539908.

Almost surely, 2^789272328100 is an apocalyptic number.

789272328100 is the 888410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 789272328100

789272328100 is an abundant number, since it is smaller than the sum of its proper divisors (948659996357).

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

789272328100 is an equidigital number, since it uses as much as digits as its factorization.

789272328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

Multiplying 789272328100 by its sum of digits (49), we get a square (38674344076900 = 6218870²).

The spelling of 789272328100 in words is "seven hundred eighty-nine billion, two hundred seventy-two million, three hundred twenty-eight thousand, one hundred".