760814829009 has 81 divisors (see below), whose sum is σ = 1159656249531. Its totient is φ = 480642986880.

The previous prime is 760814829001. The next prime is 760814829017. The reversal of 760814829009 is 900928418067.

The square root of 760814829009 is 872247.

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

760814829009 is a `hidden beast` number, since 7 + 608 + 1 + 4 + 8 + 29 + 0 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (760814829001) and next prime (760814829017).

It can be written as a sum of positive squares in only one way, i.e., 13406166225 + 747408662784 = 115785^2 + 864528^2 .

It is not a de Polignac number, because 760814829009 - 2³ = 760814829001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (760814829001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6732874537 + ... + 6732874649.

Almost surely, 2^760814829009 is an apocalyptic number.

760814829009 is the 872247-th square number.

760814829009 is the 436124-th centered octagonal number.

It is an amenable number.

760814829009 is a deficient number, since it is larger than the sum of its proper divisors (398841420522).

760814829009 is an equidigital number, since it uses as much as digits as its factorization.

760814829009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 760814829009 in words is "seven hundred sixty billion, eight hundred fourteen million, eight hundred twenty-nine thousand, nine".