74430800 has 60 divisors (see below), whose sum is σ = 181340700. Its totient is φ = 29352960.

The previous prime is 74430799. The next prime is 74430823. The reversal of 74430800 is 803447.

It can be written as a sum of positive squares in 6 ways, for example, as 1567504 + 72863296 = 1252^2 + 8536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74430800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27926 + ... + 30474.

It is an arithmetic number, because the mean of its divisors is an integer number (3022345).

Almost surely, 2^74430800 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 74430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90670350).

74430800 is an abundant number, since it is smaller than the sum of its proper divisors (106909900).

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

74430800 is a wasteful number, since it uses less digits than its factorization.

74430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 74430800 is about 8627.3286711473. The cubic root of 74430800 is about 420.6467737169.

The spelling of 74430800 in words is "seventy-four million, four hundred thirty thousand, eight hundred".