74474880 has 128 divisors (see below), whose sum is σ = 240883200. Its totient is φ = 19568640.

The previous prime is 74474879. The next prime is 74474893. The reversal of 74474880 is 8847447.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151435 + ... + 151925.

It is an arithmetic number, because the mean of its divisors is an integer number (1881900).

Almost surely, 2^74474880 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 74474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120441600).

74474880 is an abundant number, since it is smaller than the sum of its proper divisors (166408320).

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

74474880 is a wasteful number, since it uses less digits than its factorization.

74474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 74474880 is about 8629.8829656027. The cubic root of 74474880 is about 420.7297969215.

The spelling of 74474880 in words is "seventy-four million, four hundred seventy-four thousand, eight hundred eighty".