76028407208329 has 9 divisors (see below), whose sum is σ = 76821140215911. Its totient is φ = 75243772130880.

The previous prime is 76028407208239. The next prime is 76028407208339. The reversal of 76028407208329 is 92380270482067.

The square root of 76028407208329 is 8719427.

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

It can be written as a sum of positive squares in only one way, i.e., 34139655697225 + 41888751511104 = 5842915^2 + 6472152^2 .

It is not a de Polignac number, because 76028407208329 - 2²¹ = 76028405111177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76028407208339) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 845739474 + ... + 845829364.

Almost surely, 2^{76028407208329} is an apocalyptic number.

76028407208329 is the 8719427-th square number.

76028407208329 is the 4359714-th centered octagonal number.

It is an amenable number.

76028407208329 is a deficient number, since it is larger than the sum of its proper divisors (792733007582).

76028407208329 is an frugal number, since it uses more digits than its factorization.

76028407208329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179976 (or 89988 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 76028407208329 in words is "seventy-six trillion, twenty-eight billion, four hundred seven million, two hundred eight thousand, three hundred twenty-nine".