74065680 has 240 divisors, whose sum is σ = 275826096. Its totient is φ = 17694720.

The previous prime is 74065679. The next prime is 74065687. The reversal of 74065680 is 8656047.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29550096 + 44515584 = 5436^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74065687) 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, 383664 + ... + 383856.

Almost surely, 2^74065680 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 74065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137913048).

74065680 is an abundant number, since it is smaller than the sum of its proper divisors (201760416).

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

74065680 is a wasteful number, since it uses less digits than its factorization.

74065680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 74065680 is about 8606.1419927863. The cubic root of 74065680 is about 419.9578188931.

The spelling of 74065680 in words is "seventy-four million, sixty-five thousand, six hundred eighty".