74244800 has 126 divisors (see below), whose sum is σ = 212739732. Its totient is φ = 25428480.

The previous prime is 74244773. The next prime is 74244803. The reversal of 74244800 is 844247.

It is not an unprimeable number, because it can be changed into a prime (74244803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77927 + ... + 78873.

Almost surely, 2^74244800 is an apocalyptic number.

74244800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106369866).

74244800 is an abundant number, since it is smaller than the sum of its proper divisors (138494932).

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

74244800 is a wasteful number, since it uses less digits than its factorization.

74244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 74244800 is about 8616.5422299203. The cubic root of 74244800 is about 420.2960875144.

The spelling of 74244800 in words is "seventy-four million, two hundred forty-four thousand, eight hundred".