75676160 has 160 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 25067520.

The previous prime is 75676151. The next prime is 75676207. The reversal of 75676160 is 6167657.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734669 + ... + 734771.

Almost surely, 2^75676160 is an apocalyptic number.

75676160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

75676160 is an abundant number, since it is smaller than the sum of its proper divisors (138810112).

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

75676160 is a wasteful number, since it uses less digits than its factorization.

75676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 75676160 is about 8699.2045613378. The cubic root of 75676160 is about 422.9798662889.

The spelling of 75676160 in words is "seventy-five million, six hundred seventy-six thousand, one hundred sixty".