73777103777 has 8 divisors (see below), whose sum is σ = 79723437864. Its totient is φ = 67869508608.

The previous prime is 73777103753. The next prime is 73777103819. The reversal of 73777103777 is 77730177737.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11177564176 + 62599539601 = 105724^2 + 250199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73777103777 - 2⁶ = 73777103713 is a prime.

It is a super-2 number, since 2×73777103777² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73777103377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9680768 + ... + 9688385.

It is an arithmetic number, because the mean of its divisors is an integer number (9965429733).

Almost surely, 2^73777103777 is an apocalyptic number.

It is an amenable number.

73777103777 is a deficient number, since it is larger than the sum of its proper divisors (5946334087).

73777103777 is a wasteful number, since it uses less digits than its factorization.

73777103777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19369459.

The product of its (nonzero) digits is 7411887, while the sum is 56.

The spelling of 73777103777 in words is "seventy-three billion, seven hundred seventy-seven million, one hundred three thousand, seven hundred seventy-seven".