75311680 has 28 divisors (see below), whose sum is σ = 179336700. Its totient is φ = 30124544.

The previous prime is 75311669. The next prime is 75311681. The reversal of 75311680 is 8611357.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 22429696 = 7272^2 + 4736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75311681) 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 3 ways as a sum of consecutive naturals, for example, 117355 + ... + 117994.

Almost surely, 2^75311680 is an apocalyptic number.

It is an amenable number.

75311680 is an abundant number, since it is smaller than the sum of its proper divisors (104025020).

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

75311680 is a wasteful number, since it uses less digits than its factorization.

75311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235366 (or 235356 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 75311680 is about 8678.2302343277. The cubic root of 75311680 is about 422.2997054886.

The spelling of 75311680 in words is "seventy-five million, three hundred eleven thousand, six hundred eighty".