791124860304 has 225 divisors, whose sum is σ = 2368962621201. Its totient is φ = 254881365120.

The previous prime is 791124860287. The next prime is 791124860353. The reversal of 791124860304 is 403068421197.

The square root of 791124860304 is 889452.

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

791124860304 is a `hidden beast` number, since 7 + 9 + 11 + 24 + 8 + 603 + 0 + 4 = 666.

791124860304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 383631584400 + 407493275904 = 619380^2 + 638352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 791124860304.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 992628034 + ... + 992628830.

Almost surely, 2^791124860304 is an apocalyptic number.

791124860304 is the 889452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791124860304

791124860304 is an abundant number, since it is smaller than the sum of its proper divisors (1577837760897).

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

791124860304 is an frugal number, since it uses more digits than its factorization.

791124860304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 791124860304 in words is "seven hundred ninety-one billion, one hundred twenty-four million, eight hundred sixty thousand, three hundred four".