761549438224 has 45 divisors (see below), whose sum is σ = 1528339034053. Its totient is φ = 367595686976.

The previous prime is 761549438219. The next prime is 761549438227. The reversal of 761549438224 is 422834945167.

The square root of 761549438224 is 872668.

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., 399338052624 + 362211385600 = 631932^2 + 601840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (761549438227) 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, 101225727 + ... + 101233249.

Almost surely, 2^761549438224 is an apocalyptic number.

761549438224 is the 872668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761549438224

761549438224 is an abundant number, since it is smaller than the sum of its proper divisors (766789595829).

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

761549438224 is an frugal number, since it uses more digits than its factorization.

761549438224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112 (or 7554 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 761549438224 in words is "seven hundred sixty-one billion, five hundred forty-nine million, four hundred thirty-eight thousand, two hundred twenty-four".