77305541615449 has 81 divisors (see below), whose sum is σ = 93268319217021. Its totient is φ = 63887376127680.

The previous prime is 77305541615411. The next prime is 77305541615461. The reversal of 77305541615449 is 94451614550377.

The square root of 77305541615449 is 8792357.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9622670773849 + 67682870841600 = 3102043^2 + 8226960^2 .

It is a de Polignac number, because none of the positive numbers 2^k-77305541615449 is a prime.

It is a super-2 number, since 2×77305541615449² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77305541615749) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 221505849727 + ... + 221505850075.

Almost surely, 2^{77305541615449} is an apocalyptic number.

77305541615449 is the 8792357-th square number.

77305541615449 is the 4396179-th centered octagonal number.

It is an amenable number.

77305541615449 is a deficient number, since it is larger than the sum of its proper divisors (15962777601572).

77305541615449 is an frugal number, since it uses more digits than its factorization.

77305541615449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 61.

The spelling of 77305541615449 in words is "seventy-seven trillion, three hundred five billion, five hundred forty-one million, six hundred fifteen thousand, four hundred forty-nine".