75705440 has 24 divisors (see below), whose sum is σ = 178854480. Its totient is φ = 30282112.

The previous prime is 75705433. The next prime is 75705449. The reversal of 75705440 is 4450757.

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

It is a junction number, because it is equal to n+sod(n) for n = 75705397 and 75705406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75705449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236420 + ... + 236739.

It is an arithmetic number, because the mean of its divisors is an integer number (7452270).

Almost surely, 2^75705440 is an apocalyptic number.

It is an amenable number.

75705440 is an abundant number, since it is smaller than the sum of its proper divisors (103149040).

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

75705440 is a wasteful number, since it uses less digits than its factorization.

75705440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473174 (or 473166 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 75705440 is about 8700.8873110735. The cubic root of 75705440 is about 423.0344112233.

The spelling of 75705440 in words is "seventy-five million, seven hundred five thousand, four hundred forty".