74160800 has 288 divisors, whose sum is σ = 236234880. Its totient is φ = 22118400.

The previous prime is 74160797. The next prime is 74160869. The reversal of 74160800 is 806147.

It is a self number, because there is not a number n which added to its sum of digits gives 74160800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1808780 + ... + 1808820.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^74160800 is an apocalyptic number.

74160800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

74160800 is an abundant number, since it is smaller than the sum of its proper divisors (162074080).

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

74160800 is a wasteful number, since it uses less digits than its factorization.

74160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 74160800 is about 8611.6665053867. Note that the first 3 decimals coincide. The cubic root of 74160800 is about 420.1375211040.

Adding to 74160800 its reverse (806147), we get a palindrome (74966947).

The spelling of 74160800 in words is "seventy-four million, one hundred sixty thousand, eight hundred".