77945939344 has 225 divisors, whose sum is σ = 193596197127. Its totient is φ = 30313116288.

The previous prime is 77945939221. The next prime is 77945939347. The reversal of 77945939344 is 44393954977.

The square root of 77945939344 is 279188.

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

It can be written as a sum of positive squares in 2 ways, for example, as 38646841744 + 39299097600 = 196588^2 + 198240^2 .

It is a Duffinian number.

Its product of digits (102876480) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (77945939347) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1321117587 + ... + 1321117645.

Almost surely, 2^77945939344 is an apocalyptic number.

77945939344 is the 279188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77945939344

77945939344 is an abundant number, since it is smaller than the sum of its proper divisors (115650257783).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77945939344 is an frugal number, since it uses more digits than its factorization.

77945939344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 81 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 64.

Multiplying 77945939344 by its sum of digits (64), we get a square (4988540118016 = 2233504²).

The spelling of 77945939344 in words is "seventy-seven billion, nine hundred forty-five million, nine hundred thirty-nine thousand, three hundred forty-four".