74215680 has 288 divisors, whose sum is σ = 296690688. Its totient is φ = 15360000.

The previous prime is 74215667. The next prime is 74215697. The reversal of 74215680 is 8651247.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295555 + ... + 295805.

It is an arithmetic number, because the mean of its divisors is an integer number (1030176).

Almost surely, 2^74215680 is an apocalyptic number.

74215680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148345344).

74215680 is an abundant number, since it is smaller than the sum of its proper divisors (222475008).

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

74215680 is a wasteful number, since it uses less digits than its factorization.

74215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 74215680 is about 8614.8522912468. The cubic root of 74215680 is about 420.2411313759.

The spelling of 74215680 in words is "seventy-four million, two hundred fifteen thousand, six hundred eighty".