74075680 has 144 divisors (see below), whose sum is σ = 214159680. Its totient is φ = 23652864.

The previous prime is 74075641. The next prime is 74075707. The reversal of 74075680 is 8657047.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1255491 + ... + 1255549.

It is an arithmetic number, because the mean of its divisors is an integer number (1487220).

Almost surely, 2^74075680 is an apocalyptic number.

74075680 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 74075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107079840).

74075680 is an abundant number, since it is smaller than the sum of its proper divisors (140084000).

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

74075680 is a wasteful number, since it uses less digits than its factorization.

74075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 74075680 is about 8606.7229535985. The cubic root of 74075680 is about 419.9767182862.

The spelling of 74075680 in words is "seventy-four million, seventy-five thousand, six hundred eighty".