749800128100 has 81 divisors (see below), whose sum is σ = 1642065651723. Its totient is φ = 297180312000.

The previous prime is 749800128067. The next prime is 749800128139. The reversal of 749800128100 is 1821008947.

It is a happy number.

The square root of 749800128100 is 865910.

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 22068290916 + 727731837184 = 148554^2 + 853072^2 .

It is a super-2 number, since 2×749800128100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1134341770 + ... + 1134342430.

Almost surely, 2^749800128100 is an apocalyptic number.

749800128100 is the 865910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749800128100

749800128100 is an abundant number, since it is smaller than the sum of its proper divisors (892265523623).

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

749800128100 is an equidigital number, since it uses as much as digits as its factorization.

749800128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 749800128100 in words is "seven hundred forty-nine billion, eight hundred million, one hundred twenty-eight thousand, one hundred".