760411904256 has 243 divisors, whose sum is σ = 2257910600673. Its totient is φ = 246117795840.

The previous prime is 760411904227. The next prime is 760411904261. The reversal of 760411904256 is 652409114067.

The square root of 760411904256 is 872016.

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

760411904256 is a `hidden beast` number, since 7 + 60 + 411 + 90 + 42 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 680427014400 + 79984889856 = 824880^2 + 282816^2 .

It is a super-2 number, since 2×760411904256² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1548700171 + ... + 1548700661.

Almost surely, 2^760411904256 is an apocalyptic number.

760411904256 is the 872016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760411904256

760411904256 is an abundant number, since it is smaller than the sum of its proper divisors (1497498696417).

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

760411904256 is an frugal number, since it uses more digits than its factorization.

760411904256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 760411904256 in words is "seven hundred sixty billion, four hundred eleven million, nine hundred four thousand, two hundred fifty-six".