75896960 has 32 divisors (see below), whose sum is σ = 181442700. Its totient is φ = 30358528.

The previous prime is 75896927. The next prime is 75896969. The reversal of 75896960 is 6969857.

It can be written as a sum of positive squares in 2 ways, for example, as 61089856 + 14807104 = 7816^2 + 3848^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 75896899 and 75896908.

It is not an unprimeable number, because it can be changed into a prime (75896969) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 58655 + ... + 59934.

Almost surely, 2^75896960 is an apocalyptic number.

It is an amenable number.

75896960 is an abundant number, since it is smaller than the sum of its proper divisors (105545740).

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

75896960 is a wasteful number, since it uses less digits than its factorization.

75896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118608 (or 118596 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 75896960 is about 8711.8861333238. The cubic root of 75896960 is about 423.3908423466.

The spelling of 75896960 in words is "seventy-five million, eight hundred ninety-six thousand, nine hundred sixty".