74282880 has 128 divisors (see below), whose sum is σ = 270650880. Its totient is φ = 16975872.

The previous prime is 74282869. The next prime is 74282881. The reversal of 74282880 is 8828247.

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

It is a super-2 number, since 2×74282880² = 11035892522188800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74282881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10677 + ... + 16203.

It is an arithmetic number, because the mean of its divisors is an integer number (2114460).

Almost surely, 2^74282880 is an apocalyptic number.

74282880 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 74282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135325440).

74282880 is an abundant number, since it is smaller than the sum of its proper divisors (196368000).

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

74282880 is a wasteful number, since it uses less digits than its factorization.

74282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 74282880 is about 8618.7516497460. The cubic root of 74282880 is about 420.3679315560.

The spelling of 74282880 in words is "seventy-four million, two hundred eighty-two thousand, eight hundred eighty".