779106328900 has 81 divisors (see below), whose sum is σ = 1720019519127. Its totient is φ = 306321796800.

The previous prime is 779106328877. The next prime is 779106328909. The reversal of 779106328900 is 9823601977.

The square root of 779106328900 is 882670.

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 358870487364 + 420235841536 = 599058^2 + 648256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (779106328909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 538427977 + ... + 538429423.

Almost surely, 2^779106328900 is an apocalyptic number.

779106328900 is the 882670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 779106328900

779106328900 is an abundant number, since it is smaller than the sum of its proper divisors (940913190227).

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

779106328900 is an equidigital number, since it uses as much as digits as its factorization.

779106328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 779106328900 in words is "seven hundred seventy-nine billion, one hundred six million, three hundred twenty-eight thousand, nine hundred".