74353840 has 80 divisors (see below), whose sum is σ = 198558720. Its totient is φ = 25608960.

The previous prime is 74353823. The next prime is 74353847. The reversal of 74353840 is 4835347.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 74353796 and 74353805.

It is not an unprimeable number, because it can be changed into a prime (74353847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14497 + ... + 18943.

It is an arithmetic number, because the mean of its divisors is an integer number (2481984).

Almost surely, 2^74353840 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 74353840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99279360).

74353840 is an abundant number, since it is smaller than the sum of its proper divisors (124204880).

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

74353840 is a wasteful number, since it uses less digits than its factorization.

74353840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 74353840 is about 8622.8672725492. The cubic root of 74353840 is about 420.5017435242.

The spelling of 74353840 in words is "seventy-four million, three hundred fifty-three thousand, eight hundred forty".