74440080 has 320 divisors, whose sum is σ = 302480640. Its totient is φ = 16588800.

The previous prime is 74440073. The next prime is 74440087. The reversal of 74440080 is 8004447.

74440080 = 273² + 274² + ... + 624².

It is an interprime number because it is at equal distance from previous prime (74440073) and next prime (74440087).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (74440087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308760 + ... + 309000.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^74440080 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 74440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

74440080 is an abundant number, since it is smaller than the sum of its proper divisors (228040560).

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

74440080 is a wasteful number, since it uses less digits than its factorization.

74440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74440080 is about 8627.8664801908. The cubic root of 74440080 is about 420.6642550098.

The spelling of 74440080 in words is "seventy-four million, four hundred forty thousand, eighty".