772590018841 has 9 divisors (see below), whose sum is σ = 777874025439. Its totient is φ = 767341683000.

The previous prime is 772590018839. The next prime is 772590018847. The reversal of 772590018841 is 148810095277.

The square root of 772590018841 is 878971.

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., 672037608841 + 100552410000 = 819779^2 + 317100^2 .

It is not a de Polignac number, because 772590018841 - 2¹ = 772590018839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772590018847) 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 8 ways as a sum of consecutive naturals, for example, 132721711 + ... + 132727531.

It is an arithmetic number, because the mean of its divisors is an integer number (86430447271).

Almost surely, 2^772590018841 is an apocalyptic number.

772590018841 is the 878971-st square number.

772590018841 is the 439486-th centered octagonal number.

It is an amenable number.

772590018841 is a deficient number, since it is larger than the sum of its proper divisors (5284006598).

772590018841 is an frugal number, since it uses more digits than its factorization.

772590018841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11944 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 772590018841 in words is "seven hundred seventy-two billion, five hundred ninety million, eighteen thousand, eight hundred forty-one".