755447040 has 144 divisors (see below), whose sum is σ = 2680910400. Its totient is φ = 201443328.

The previous prime is 755447039. The next prime is 755447047. The reversal of 755447040 is 40744557.

755447040 is a `hidden beast` number, since 7 + 5 + 544 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 755446986 and 755447004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755447047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23631 + ... + 45489.

Almost surely, 2^755447040 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 755447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340455200).

755447040 is an abundant number, since it is smaller than the sum of its proper divisors (1925463360).

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

755447040 is a wasteful number, since it uses less digits than its factorization.

755447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21889 (or 21869 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 755447040 is about 27485.3968499638. The cubic root of 755447040 is about 910.7545325960.

The spelling of 755447040 in words is "seven hundred fifty-five million, four hundred forty-seven thousand, forty".