74884500 has 180 divisors, whose sum is σ = 250125876. Its totient is φ = 19504800.

The previous prime is 74884487. The next prime is 74884501. The reversal of 74884500 is 548847.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

74884500 is a `hidden beast` number, since 74 + 8 + 84 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 72488196 = 1548^2 + 8514^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74884501) 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 59 ways as a sum of consecutive naturals, for example, 1741479 + ... + 1741521.

Almost surely, 2^74884500 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 74884500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125062938).

74884500 is an abundant number, since it is smaller than the sum of its proper divisors (175241376).

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

74884500 is a wasteful number, since it uses less digits than its factorization.

74884500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 74884500 is about 8653.5830729242. The cubic root of 74884500 is about 421.4997403780.

The spelling of 74884500 in words is "seventy-four million, eight hundred eighty-four thousand, five hundred".