75760520 has 64 divisors (see below), whose sum is σ = 187626240. Its totient is φ = 27529920.

The previous prime is 75760513. The next prime is 75760523. The reversal of 75760520 is 2506757.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75760523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52529 + ... + 53951.

It is an arithmetic number, because the mean of its divisors is an integer number (2931660).

Almost surely, 2^75760520 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 75760520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93813120).

75760520 is an abundant number, since it is smaller than the sum of its proper divisors (111865720).

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

75760520 is a wasteful number, since it uses less digits than its factorization.

75760520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 75760520 is about 8704.0519299921. The cubic root of 75760520 is about 423.1369801922.

The spelling of 75760520 in words is "seventy-five million, seven hundred sixty thousand, five hundred twenty".