74808000 has 168 divisors, whose sum is σ = 267858240. Its totient is φ = 19929600.

The previous prime is 74807981. The next prime is 74808011. The reversal of 74808000 is 80847.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 71481 + ... + 72519.

Almost surely, 2^74808000 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 74808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133929120).

74808000 is an abundant number, since it is smaller than the sum of its proper divisors (193050240).

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

74808000 is a wasteful number, since it uses less digits than its factorization.

74808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 74808000 is about 8649.1618091003. The cubic root of 74808000 is about 421.3561605251.

Adding to 74808000 its reverse (80847), we get a palindrome (74888847).

The spelling of 74808000 in words is "seventy-four million, eight hundred eight thousand".