75953680 has 40 divisors (see below), whose sum is σ = 192648384. Its totient is φ = 27619200.

The previous prime is 75953651. The next prime is 75953693. The reversal of 75953680 is 8635957.

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

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, 42276 + ... + 44035.

Almost surely, 2^75953680 is an apocalyptic number.

It is an amenable number.

75953680 is an abundant number, since it is smaller than the sum of its proper divisors (116694704).

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

75953680 is a wasteful number, since it uses less digits than its factorization.

75953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86335 (or 86329 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 75953680 is about 8715.1408479726. The cubic root of 75953680 is about 423.4962868368.

The spelling of 75953680 in words is "seventy-five million, nine hundred fifty-three thousand, six hundred eighty".