75065680 has 40 divisors (see below), whose sum is σ = 174959784. Its totient is φ = 29952000.

The previous prime is 75065677. The next prime is 75065687. The reversal of 75065680 is 8656057.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 75064896 = 28^2 + 8664^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75065687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40780 + ... + 42580.

Almost surely, 2^75065680 is an apocalyptic number.

It is an amenable number.

75065680 is an abundant number, since it is smaller than the sum of its proper divisors (99894104).

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

75065680 is a wasteful number, since it uses less digits than its factorization.

75065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 75065680 is about 8664.0452445725. The cubic root of 75065680 is about 421.8394004163.

It can be divided in two parts, 750 and 65680, that added together give a triangular number (66430 = T₃₆₄).

The spelling of 75065680 in words is "seventy-five million, sixty-five thousand, six hundred eighty".