74321280 has 512 divisors, whose sum is σ = 317260800. Its totient is φ = 16220160.

The previous prime is 74321279. The next prime is 74321281. The reversal of 74321280 is 8212347.

It is an interprime number because it is at equal distance from previous prime (74321279) and next prime (74321281).

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 (74321281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3231349 + ... + 3231371.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 2^74321280 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 74321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

74321280 is an abundant number, since it is smaller than the sum of its proper divisors (242939520).

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

74321280 is a wasteful number, since it uses less digits than its factorization.

74321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74321280 is about 8620.9790627283. The cubic root of 74321280 is about 420.4403544698.

The spelling of 74321280 in words is "seventy-four million, three hundred twenty-one thousand, two hundred eighty".