74891680 has 96 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 27979776.

The previous prime is 74891653. The next prime is 74891683. The reversal of 74891680 is 8619847.

It is not an unprimeable number, because it can be changed into a prime (74891683) 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 15 ways as a sum of consecutive naturals, for example, 172744 + ... + 173176.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2^74891680 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 74891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

74891680 is an abundant number, since it is smaller than the sum of its proper divisors (114096224).

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

74891680 is a wasteful number, since it uses less digits than its factorization.

74891680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 74891680 is about 8653.9979200367. The cubic root of 74891680 is about 421.5132112183.

The spelling of 74891680 in words is "seventy-four million, eight hundred ninety-one thousand, six hundred eighty".