74280960 has 312 divisors, whose sum is σ = 286226304. Its totient is φ = 17694720.

The previous prime is 74280953. The next prime is 74280979. The reversal of 74280960 is 6908247.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×74280960² = 11035322037043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396145 + ... + 2396175.

It is an arithmetic number, because the mean of its divisors is an integer number (917392).

Almost surely, 2^74280960 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 74280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143113152).

74280960 is an abundant number, since it is smaller than the sum of its proper divisors (211945344).

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

74280960 is a wasteful number, since it uses less digits than its factorization.

74280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 74280960 is about 8618.6402639860. The cubic root of 74280960 is about 420.3643097552.

The spelling of 74280960 in words is "seventy-four million, two hundred eighty thousand, nine hundred sixty".