74028800 has 108 divisors (see below), whose sum is σ = 188191080. Its totient is φ = 28815360.

The previous prime is 74028781. The next prime is 74028803. The reversal of 74028800 is 882047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74028803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275066 + ... + 275334.

It is an arithmetic number, because the mean of its divisors is an integer number (1742510).

Almost surely, 2^74028800 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 74028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94095540).

74028800 is an abundant number, since it is smaller than the sum of its proper divisors (114162280).

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

74028800 is a wasteful number, since it uses less digits than its factorization.

74028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 74028800 is about 8603.9990701999. Note that the first 3 decimals coincide. The cubic root of 74028800 is about 419.8881032220. Note that the first 3 decimals are identical.

The spelling of 74028800 in words is "seventy-four million, twenty-eight thousand, eight hundred".