77030866618729 has 9 divisors (see below), whose sum is σ = 77103562502007. Its totient is φ = 76958239235904.

The previous prime is 77030866618691. The next prime is 77030866618793. The reversal of 77030866618729 is 92781666803077.

It is a happy number.

The square root of 77030866618729 is 8776723.

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., 31523429972329 + 45507436646400 = 5614573^2 + 6745920^2 .

It is not a de Polignac number, because 77030866618729 - 2¹¹ = 77030866616681 is a prime.

It is a super-2 number, since 2×77030866618729² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77030866618429) 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, 10962123514 + ... + 10962130540.

It is an arithmetic number, because the mean of its divisors is an integer number (8567062500223).

Almost surely, 2^{77030866618729} is an apocalyptic number.

77030866618729 is the 8776723-rd square number.

77030866618729 is the 4388362-nd centered octagonal number.

It is an amenable number.

77030866618729 is a deficient number, since it is larger than the sum of its proper divisors (72695883278).

77030866618729 is an frugal number, since it uses more digits than its factorization.

77030866618729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16552 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 70.

The spelling of 77030866618729 in words is "seventy-seven trillion, thirty billion, eight hundred sixty-six million, six hundred eighteen thousand, seven hundred twenty-nine".