74080080 has 120 divisors (see below), whose sum is σ = 256888320. Its totient is φ = 19111680.

The previous prime is 74080057. The next prime is 74080087. The reversal of 74080080 is 8008047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74080087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20661 + ... + 23979.

It is an arithmetic number, because the mean of its divisors is an integer number (2140736).

Almost surely, 2^74080080 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 74080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128444160).

74080080 is an abundant number, since it is smaller than the sum of its proper divisors (182808240).

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

74080080 is a wasteful number, since it uses less digits than its factorization.

74080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 74080080 is about 8606.9785639329. The cubic root of 74080080 is about 419.9850334803.

The spelling of 74080080 in words is "seventy-four million, eighty thousand, eighty".