74740320 has 240 divisors, whose sum is σ = 270768960. Its totient is φ = 19408896.

The previous prime is 74740307. The next prime is 74740327. The reversal of 74740320 is 2304747.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×74740320² = 11172230867404800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74740327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 946041 + ... + 946119.

It is an arithmetic number, because the mean of its divisors is an integer number (1128204).

Almost surely, 2^74740320 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 74740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135384480).

74740320 is an abundant number, since it is smaller than the sum of its proper divisors (196028640).

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

74740320 is a wasteful number, since it uses less digits than its factorization.

74740320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 74740320 is about 8645.2484059164. The cubic root of 74740320 is about 421.2290529549.

The spelling of 74740320 in words is "seventy-four million, seven hundred forty thousand, three hundred twenty".