74242800 has 180 divisors, whose sum is σ = 264451824. Its totient is φ = 19276800.

The previous prime is 74242769. The next prime is 74242801. The reversal of 74242800 is 824247.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74242801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147349 + ... + 147851.

Almost surely, 2^74242800 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 74242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132225912).

74242800 is an abundant number, since it is smaller than the sum of its proper divisors (190209024).

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

74242800 is a wasteful number, since it uses less digits than its factorization.

74242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 554 counting only the distinct ones).

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

The square root of 74242800 is about 8616.4261733041. The cubic root of 74242800 is about 420.2923135139.

The spelling of 74242800 in words is "seventy-four million, two hundred forty-two thousand, eight hundred".