77828166529 has 9 divisors (see below), whose sum is σ = 82145570913. Its totient is φ = 73726925652.

The previous prime is 77828166517. The next prime is 77828166541. The reversal of 77828166529 is 92566182877.

The square root of 77828166529 is 278977.

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

It is an interprime number because it is at equal distance from previous prime (77828166517) and next prime (77828166541).

It is not a de Polignac number, because 77828166529 - 2²³ = 77819777921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77828166629) 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, 5293222 + ... + 5307904.

It is an arithmetic number, because the mean of its divisors is an integer number (9127285657).

Almost surely, 2^77828166529 is an apocalyptic number.

77828166529 is the 278977-th square number.

77828166529 is the 139489-th centered octagonal number.

It is an amenable number.

77828166529 is a deficient number, since it is larger than the sum of its proper divisors (4317404384).

77828166529 is an frugal number, since it uses more digits than its factorization.

77828166529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29404 (or 14702 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 61.

The spelling of 77828166529 in words is "seventy-seven billion, eight hundred twenty-eight million, one hundred sixty-six thousand, five hundred twenty-nine".