77238400177444 has 81 divisors (see below), whose sum is σ = 150415056975729. Its totient is φ = 34678164781920.

The previous prime is 77238400177423. The next prime is 77238400177447. The reversal of 77238400177444 is 44477100483277.

It is a happy number.

The square root of 77238400177444 is 8788538.

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., 57840435984100 + 19397964193344 = 7605290^2 + 4404312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77238400177447) 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, 16047867982 + ... + 16047872794.

Almost surely, 2^{77238400177444} is an apocalyptic number.

77238400177444 is the 8788538-th square number.

It is an amenable number.

77238400177444 is a deficient number, since it is larger than the sum of its proper divisors (73176656798285).

77238400177444 is an frugal number, since it uses more digits than its factorization.

77238400177444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 4909 counting only the distinct ones).

The product of its (nonzero) digits is 29503488, while the sum is 58.

The spelling of 77238400177444 in words is "seventy-seven trillion, two hundred thirty-eight billion, four hundred million, one hundred seventy-seven thousand, four hundred forty-four".