75849760 has 48 divisors (see below), whose sum is σ = 204797376. Its totient is φ = 26005248.

The previous prime is 75849737. The next prime is 75849769. The reversal of 75849760 is 6794857.

It is a happy number.

It is a super-3 number, since 3×75849760³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75849760.

It is not an unprimeable number, because it can be changed into a prime (75849769) 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 7 ways as a sum of consecutive naturals, for example, 32742 + ... + 34981.

It is an arithmetic number, because the mean of its divisors is an integer number (4266612).

Almost surely, 2^75849760 is an apocalyptic number.

75849760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75849760 is an abundant number, since it is smaller than the sum of its proper divisors (128947616).

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

75849760 is a wasteful number, since it uses less digits than its factorization.

75849760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67745 (or 67737 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 75849760 is about 8709.1767693623. The cubic root of 75849760 is about 423.3030558184.

The spelling of 75849760 in words is "seventy-five million, eight hundred forty-nine thousand, seven hundred sixty".