760677020224 has 315 divisors, whose sum is σ = 1797728790235. Its totient is φ = 319283261440.

The previous prime is 760677020221. The next prime is 760677020237. The reversal of 760677020224 is 422020776067.

The square root of 760677020224 is 872168.

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 190591618624 + 570085401600 = 436568^2 + 755040^2 .

It is a super-3 number, since 3×760677020224³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (760677020221) 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, 14352396582 + ... + 14352396634.

Almost surely, 2^760677020224 is an apocalyptic number.

760677020224 is the 872168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760677020224

760677020224 is an abundant number, since it is smaller than the sum of its proper divisors (1037051770011).

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

760677020224 is an frugal number, since it uses more digits than its factorization.

760677020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 43.

The spelling of 760677020224 in words is "seven hundred sixty billion, six hundred seventy-seven million, twenty thousand, two hundred twenty-four".