77460352489 has 27 divisors (see below), whose sum is σ = 85266996759. Its totient is φ = 70336272240.

The previous prime is 77460352481. The next prime is 77460352507. The reversal of 77460352489 is 98425306477.

The square root of 77460352489 is 278317.

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., 11458632025 + 66001720464 = 107045^2 + 256908^2 .

It is not a de Polignac number, because 77460352489 - 2³ = 77460352481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77460352481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 285831424 + ... + 285831694.

It is an arithmetic number, because the mean of its divisors is an integer number (3158036917).

Almost surely, 2^77460352489 is an apocalyptic number.

77460352489 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

77460352489 is the 278317-th square number.

77460352489 is the 139159-th centered octagonal number.

It is an amenable number.

77460352489 is a deficient number, since it is larger than the sum of its proper divisors (7806644270).

77460352489 is an frugal number, since it uses more digits than its factorization.

77460352489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 55.

The spelling of 77460352489 in words is "seventy-seven billion, four hundred sixty million, three hundred fifty-two thousand, four hundred eighty-nine".