74068800 has 168 divisors, whose sum is σ = 261920736. Its totient is φ = 18216960.

The previous prime is 74068759. The next prime is 74068811. The reversal of 74068800 is 886047.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61807 + ... + 62993.

It is an arithmetic number, because the mean of its divisors is an integer number (1559052).

Almost surely, 2^74068800 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 74068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130960368).

74068800 is an abundant number, since it is smaller than the sum of its proper divisors (187851936).

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

74068800 is a wasteful number, since it uses less digits than its factorization.

74068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 74068800 is about 8606.3232567688. The cubic root of 74068800 is about 419.9637156863.

The spelling of 74068800 in words is "seventy-four million, sixty-eight thousand, eight hundred".