780289555600 has 135 divisors (see below), whose sum is σ = 1942793313643. Its totient is φ = 301155339520.

The previous prime is 780289555597. The next prime is 780289555601. The reversal of 780289555600 is 6555982087.

The square root of 780289555600 is 883340.

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

780289555600 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 10725502096 + 769564053504 = 103564^2 + 877248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (780289555601) 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, 512336439 + ... + 512337961.

Almost surely, 2^780289555600 is an apocalyptic number.

780289555600 is the 883340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780289555600

780289555600 is an abundant number, since it is smaller than the sum of its proper divisors (1162503758043).

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

780289555600 is an equidigital number, since it uses as much as digits as its factorization.

780289555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 55.

The spelling of 780289555600 in words is "seven hundred eighty billion, two hundred eighty-nine million, five hundred fifty-five thousand, six hundred".