760530560 has 64 divisors (see below), whose sum is σ = 1867340520. Its totient is φ = 295981056.

The previous prime is 760530559. The next prime is 760530569. The reversal of 760530560 is 65035067.

It can be written as a sum of positive squares in 4 ways, for example, as 539354176 + 221176384 = 23224^2 + 14872^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (760530569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7622 + ... + 39738.

Almost surely, 2^760530560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933670260).

760530560 is an abundant number, since it is smaller than the sum of its proper divisors (1106809960).

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

760530560 is a wasteful number, since it uses less digits than its factorization.

760530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32173 (or 32161 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 760530560 is about 27577.7185423305. The cubic root of 760530560 is about 912.7928367699.

The spelling of 760530560 in words is "seven hundred sixty million, five hundred thirty thousand, five hundred sixty".