4075760 has 40 divisors (see below), whose sum is σ = 10207680. Its totient is φ = 1504512.

The previous prime is 4075759. The next prime is 4075777. The reversal of 4075760 is 675704.

4075760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4075760² = 33223639155200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 920 + ... + 2999.

It is an arithmetic number, because the mean of its divisors is an integer number (255192).

Almost surely, 2^4075760 is an apocalyptic number.

4075760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4075760 is an abundant number, since it is smaller than the sum of its proper divisors (6131920).

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

4075760 is a wasteful number, since it uses less digits than its factorization.

4075760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 4075760 is about 2018.8511584562. The cubic root of 4075760 is about 159.7360230489.

The spelling of 4075760 in words is "four million, seventy-five thousand, seven hundred sixty".