755647872 has 128 divisors (see below), whose sum is σ = 2307191040. Its totient is φ = 214652928.

The previous prime is 755647859. The next prime is 755647873. The reversal of 755647872 is 278746557.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755647873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528823 + ... + 530249.

It is an arithmetic number, because the mean of its divisors is an integer number (18024930).

Almost surely, 2^755647872 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 755647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153595520).

755647872 is an abundant number, since it is smaller than the sum of its proper divisors (1551543168).

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

755647872 is a wasteful number, since it uses less digits than its factorization.

755647872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1636 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 51.

The square root of 755647872 is about 27489.0500381516. The cubic root of 755647872 is about 910.8352320312.

It can be divided in two parts, 75564 and 7872, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 755647872 in words is "seven hundred fifty-five million, six hundred forty-seven thousand, eight hundred seventy-two".