74768160 has 96 divisors (see below), whose sum is σ = 240045120. Its totient is φ = 19555328.

The previous prime is 74768149. The next prime is 74768167. The reversal of 74768160 is 6186747.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (74768167) 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 15 ways as a sum of consecutive naturals, for example, 23971 + ... + 26909.

It is an arithmetic number, because the mean of its divisors is an integer number (2500470).

Almost surely, 2^74768160 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 74768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120022560).

74768160 is an abundant number, since it is smaller than the sum of its proper divisors (165276960).

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

74768160 is a wasteful number, since it uses less digits than its factorization.

74768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 74768160 is about 8646.8583890336. The cubic root of 74768160 is about 421.2813476248.

The spelling of 74768160 in words is "seventy-four million, seven hundred sixty-eight thousand, one hundred sixty".