780704780625 has 945 divisors, whose sum is σ = 1986717274311. Its totient is φ = 305363520000.

The previous prime is 780704780623. The next prime is 780704780641. The reversal of 780704780625 is 526087407087.

It is a happy number.

The square root of 780704780625 is 883575.

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

780704780625 is a `hidden beast` number, since 7 + 8 + 0 + 7 + 0 + 4 + 7 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 381260556369 + 399444224256 = 617463^2 + 632016^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is not a de Polignac number, because 780704780625 - 2¹ = 780704780623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (780704780623) by changing a digit.

It is a polite number, since it can be written in 944 ways as a sum of consecutive naturals, for example, 45923810617 + ... + 45923810633.

Almost surely, 2^780704780625 is an apocalyptic number.

780704780625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

780704780625 is the 883575-th square number.

780704780625 is the 441788-th centered octagonal number.

It is an amenable number.

780704780625 is an abundant number, since it is smaller than the sum of its proper divisors (1206012493686).

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

780704780625 is an equidigital number, since it uses as much as digits as its factorization.

780704780625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 780704780625 in words is "seven hundred eighty billion, seven hundred four million, seven hundred eighty thousand, six hundred twenty-five".