75645600 has 144 divisors (see below), whose sum is σ = 252296352. Its totient is φ = 19676160.

The previous prime is 75645587. The next prime is 75645623. The reversal of 75645600 is 654657.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102834 + ... + 103566.

It is an arithmetic number, because the mean of its divisors is an integer number (1752058).

Almost surely, 2^75645600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126148176).

75645600 is an abundant number, since it is smaller than the sum of its proper divisors (176650752).

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

75645600 is a wasteful number, since it uses less digits than its factorization.

75645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 75645600 is about 8697.4479015399. The cubic root of 75645600 is about 422.9229218690.

It can be divided in two parts, 75645 and 600, that added together give a triangular number (76245 = T₃₉₀).

The spelling of 75645600 in words is "seventy-five million, six hundred forty-five thousand, six hundred".