1079780765625 has 189 divisors, whose sum is σ = 2083789791993. Its totient is φ = 538682400000.

The previous prime is 1079780765573. The next prime is 1079780765627. The reversal of 1079780765625 is 5265670879701.

The square root of 1079780765625 is 1039125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 1061565484329 + 18215281296 = 1030323^2 + 134964^2 .

It is not a de Polignac number, because 1079780765625 - 2⁹ = 1079780765113 is a prime.

It is a super-2 number, since 2×1079780765625² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1079780765627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 6624421794 + ... + 6624421956.

Almost surely, 2^{1079780765625} is an apocalyptic number.

1079780765625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1079780765625 is the 1039125-th square number.

1079780765625 is the 519563-rd centered octagonal number.

It is an amenable number.

1079780765625 is a deficient number, since it is larger than the sum of its proper divisors (1004009026368).

1079780765625 is an frugal number, since it uses more digits than its factorization.

1079780765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 1079780765625 in words is "one trillion, seventy-nine billion, seven hundred eighty million, seven hundred sixty-five thousand, six hundred twenty-five".