761723981824 has 117 divisors (see below), whose sum is σ = 1651023280803. Its totient is φ = 351229771776.

The previous prime is 761723981813. The next prime is 761723981849. The reversal of 761723981824 is 428189327167.

The square root of 761723981824 is 872768.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5464166400 + 756259815424 = 73920^2 + 869632^2 .

It is a super-3 number, since 3×761723981824³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 726142452 + ... + 726143500.

Almost surely, 2^761723981824 is an apocalyptic number.

761723981824 is the 872768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761723981824

761723981824 is an abundant number, since it is smaller than the sum of its proper divisors (889299298979).

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

761723981824 is an frugal number, since it uses more digits than its factorization.

761723981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 1064 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 58.

The spelling of 761723981824 in words is "seven hundred sixty-one billion, seven hundred twenty-three million, nine hundred eighty-one thousand, eight hundred twenty-four".