75527680 has 80 divisors (see below), whose sum is σ = 183207024. Its totient is φ = 29859840.

The previous prime is 75527677. The next prime is 75527723. The reversal of 75527680 is 8672557.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 417190 + ... + 417370.

Almost surely, 2^75527680 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 75527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91603512).

75527680 is an abundant number, since it is smaller than the sum of its proper divisors (107679344).

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

75527680 is a wasteful number, since it uses less digits than its factorization.

75527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 75527680 is about 8690.6662575432. Note that the first 3 decimals coincide. The cubic root of 75527680 is about 422.7030500491.

The spelling of 75527680 in words is "seventy-five million, five hundred twenty-seven thousand, six hundred eighty".