74882880 has 224 divisors, whose sum is σ = 269930880. Its totient is φ = 19782144.

The previous prime is 74882879. The next prime is 74882881. The reversal of 74882880 is 8828847.

It is an interprime number because it is at equal distance from previous prime (74882879) and next prime (74882881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74882881) 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 31 ways as a sum of consecutive naturals, for example, 699787 + ... + 699893.

Almost surely, 2^74882880 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 74882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134965440).

74882880 is an abundant number, since it is smaller than the sum of its proper divisors (195048000).

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

74882880 is an equidigital number, since it uses as much as digits as its factorization.

74882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 74882880 is about 8653.4894695724. The cubic root of 74882880 is about 421.4967008772.

The spelling of 74882880 in words is "seventy-four million, eight hundred eighty-two thousand, eight hundred eighty".