77347754641 has 16 divisors (see below), whose sum is σ = 81175702608. Its totient is φ = 73628006400.

The previous prime is 77347754639. The next prime is 77347754663. The reversal of 77347754641 is 14645774377.

77347754641 is a nontrivial binomial coefficient, being equal to C(393314, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 6700241025 + 70647513616 = 81855^2 + 265796^2 .

It is a 3-Lehmer number, since φ(77347754641) divides (77347754641-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 77347754641 - 2¹ = 77347754639 is a prime.

It is a super-3 number, since 3×77347754641³ (a number of 34 digits) contains 333 as substring.

It is a deceptive number, since it divides R_77347754640.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77347754611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294985 + ... + 491641.

It is an arithmetic number, because the mean of its divisors is an integer number (5073481413).

It is a Poulet number, since it divides 2^77347754640-1.

Almost surely, 2^77347754641 is an apocalyptic number.

77347754641 is the 393313-rd triangular number and also the 196657-th hexagonal number.

77347754641 is the 131105-th centered nonagonal number.

It is an amenable number.

77347754641 is a deficient number, since it is larger than the sum of its proper divisors (3827947967).

77347754641 is a wasteful number, since it uses less digits than its factorization.

77347754641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196932.

The product of its digits is 13829760, while the sum is 55.

The spelling of 77347754641 in words is "seventy-seven billion, three hundred forty-seven million, seven hundred fifty-four thousand, six hundred forty-one".