74875680 has 288 divisors, whose sum is σ = 290122560. Its totient is φ = 17418240.

The previous prime is 74875663. The next prime is 74875681. The reversal of 74875680 is 8657847.

74875680 is a `hidden beast` number, since 7 + 4 + 87 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74875681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459279 + ... + 459441.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 2^74875680 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 74875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061280).

74875680 is an abundant number, since it is smaller than the sum of its proper divisors (215246880).

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

74875680 is a wasteful number, since it uses less digits than its factorization.

74875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 74875680 is about 8653.0734424250. The cubic root of 74875680 is about 421.4831914541.

The spelling of 74875680 in words is "seventy-four million, eight hundred seventy-five thousand, six hundred eighty".