74768760 has 192 divisors, whose sum is σ = 269568000. Its totient is φ = 17821440.

The previous prime is 74768723. The next prime is 74768767. The reversal of 74768760 is 6786747.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74768767) 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 47 ways as a sum of consecutive naturals, for example, 312721 + ... + 312959.

It is an arithmetic number, because the mean of its divisors is an integer number (1404000).

Almost surely, 2^74768760 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 74768760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

74768760 is an abundant number, since it is smaller than the sum of its proper divisors (194799240).

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

74768760 is a wasteful number, since it uses less digits than its factorization.

74768760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 74768760 is about 8646.8930836457. The cubic root of 74768760 is about 421.2824745222.

It can be divided in two parts, 747687 and 60, that added together give a palindrome (747747).

The spelling of 74768760 in words is "seventy-four million, seven hundred sixty-eight thousand, seven hundred sixty".