772307016100 has 27 divisors (see below), whose sum is σ = 1675925295331. Its totient is φ = 308919291200.

The previous prime is 772307016043. The next prime is 772307016113. The reversal of 772307016100 is 1610703277.

The square root of 772307016100 is 878810.

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

772307016100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2953487716 + 769353528384 = 54346^2 + 877128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8744160 + ... + 8832040.

Almost surely, 2^772307016100 is an apocalyptic number.

772307016100 is the 878810-th square number.

It is an amenable number.

772307016100 is an abundant number, since it is smaller than the sum of its proper divisors (903618279231).

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

772307016100 is an frugal number, since it uses more digits than its factorization.

772307016100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175776 (or 87888 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 34.

Adding to 772307016100 its reverse (1610703277), we get a palindrome (773917719377).

The spelling of 772307016100 in words is "seven hundred seventy-two billion, three hundred seven million, sixteen thousand, one hundred".