74954880 has 576 divisors, whose sum is σ = 349427520. Its totient is φ = 14376960.

The previous prime is 74954857. The next prime is 74954899. The reversal of 74954880 is 8845947.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5765754 + ... + 5765766.

It is an arithmetic number, because the mean of its divisors is an integer number (606645).

Almost surely, 2^74954880 is an apocalyptic number.

74954880 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 74954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174713760).

74954880 is an abundant number, since it is smaller than the sum of its proper divisors (274472640).

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

74954880 is a wasteful number, since it uses less digits than its factorization.

74954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 74954880 is about 8657.6486415192. The cubic root of 74954880 is about 421.6317475046.

The spelling of 74954880 in words is "seventy-four million, nine hundred fifty-four thousand, eight hundred eighty".