74638800 has 120 divisors (see below), whose sum is σ = 265697280. Its totient is φ = 19900800.

The previous prime is 74638799. The next prime is 74638801. The reversal of 74638800 is 883647.

It is an interprime number because it is at equal distance from previous prime (74638799) and next prime (74638801).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74638801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7345 + ... + 14255.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 2^74638800 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 74638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

74638800 is an abundant number, since it is smaller than the sum of its proper divisors (191058480).

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

74638800 is a wasteful number, since it uses less digits than its factorization.

74638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74638800 is about 8639.3749773928. The cubic root of 74638800 is about 421.0382476446.

The spelling of 74638800 in words is "seventy-four million, six hundred thirty-eight thousand, eight hundred".