74146880 has 28 divisors (see below), whose sum is σ = 176563020. Its totient is φ = 29658624.

The previous prime is 74146867. The next prime is 74146913. The reversal of 74146880 is 8864147.

It can be written as a sum of positive squares in 2 ways, for example, as 48664576 + 25482304 = 6976^2 + 5048^2 .

It is a super-3 number, since 3×74146880³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115535 + ... + 116174.

Almost surely, 2^74146880 is an apocalyptic number.

It is an amenable number.

74146880 is an abundant number, since it is smaller than the sum of its proper divisors (102416140).

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

74146880 is a wasteful number, since it uses less digits than its factorization.

74146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231726 (or 231716 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 74146880 is about 8610.8582615207. The cubic root of 74146880 is about 420.1112328212. Note that the first 3 decimals are identical.

The spelling of 74146880 in words is "seventy-four million, one hundred forty-six thousand, eight hundred eighty".