77771562401 has 8 divisors (see below), whose sum is σ = 83901193320. Its totient is φ = 71662960512.

The previous prime is 77771562391. The next prime is 77771562433. The reversal of 77771562401 is 10426517777.

It can be written as a sum of positive squares in 4 ways, for example, as 5270614801 + 72500947600 = 72599^2 + 269260^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-77771562401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77771562301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5249570 + ... + 5264363.

It is an arithmetic number, because the mean of its divisors is an integer number (10487649165).

Almost surely, 2^77771562401 is an apocalyptic number.

It is an amenable number.

77771562401 is a deficient number, since it is larger than the sum of its proper divisors (6129630919).

77771562401 is a wasteful number, since it uses less digits than its factorization.

77771562401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514515.

The product of its (nonzero) digits is 576240, while the sum is 47.

The spelling of 77771562401 in words is "seventy-seven billion, seven hundred seventy-one million, five hundred sixty-two thousand, four hundred one".