74789200 has 60 divisors (see below), whose sum is σ = 180848668. Its totient is φ = 29721600.

The previous prime is 74789177. The next prime is 74789203. The reversal of 74789200 is 298747.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2471184 + 72318016 = 1572^2 + 8504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74789200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74789203) 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 11 ways as a sum of consecutive naturals, for example, 71884 + ... + 72916.

Almost surely, 2^74789200 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 74789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90424334).

74789200 is an abundant number, since it is smaller than the sum of its proper divisors (106059468).

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

74789200 is a wasteful number, since it uses less digits than its factorization.

74789200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 74789200 is about 8648.0749302952. The cubic root of 74789200 is about 421.3208605594.

The spelling of 74789200 in words is "seventy-four million, seven hundred eighty-nine thousand, two hundred".