75405640 has 32 divisors (see below), whose sum is σ = 175138560. Its totient is φ = 29188800.

The previous prime is 75405637. The next prime is 75405643. The reversal of 75405640 is 4650457.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75405637) and next prime (75405643).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (75405643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29166 + ... + 31645.

It is an arithmetic number, because the mean of its divisors is an integer number (5473080).

Almost surely, 2^75405640 is an apocalyptic number.

It is an amenable number.

75405640 is an abundant number, since it is smaller than the sum of its proper divisors (99732920).

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

75405640 is a wasteful number, since it uses less digits than its factorization.

75405640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60853 (or 60849 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 75405640 is about 8683.6420930391. The cubic root of 75405640 is about 422.4752550194.

The spelling of 75405640 in words is "seventy-five million, four hundred five thousand, six hundred forty".