74805120 has 384 divisors, whose sum is σ = 296281440. Its totient is φ = 17915904.

The previous prime is 74805119. The next prime is 74805149. The reversal of 74805120 is 2150847.

74805120 is a `hidden beast` number, since 74 + 80 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 2021742 + ... + 2021778.

Almost surely, 2^74805120 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 74805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148140720).

74805120 is an abundant number, since it is smaller than the sum of its proper divisors (221476320).

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

74805120 is a wasteful number, since it uses less digits than its factorization.

74805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 74805120 is about 8648.9953173765. The cubic root of 74805120 is about 421.3507532544.

Adding to 74805120 its reverse (2150847), we get a palindrome (76955967).

The spelling of 74805120 in words is "seventy-four million, eight hundred five thousand, one hundred twenty".