74240880 has 240 divisors, whose sum is σ = 274803840. Its totient is φ = 16525824.

The previous prime is 74240867. The next prime is 74240893. The reversal of 74240880 is 8804247.

It is an interprime number because it is at equal distance from previous prime (74240867) and next prime (74240893).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 693787 + ... + 693893.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 2^74240880 is an apocalyptic number.

74240880 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 74240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137401920).

74240880 is an abundant number, since it is smaller than the sum of its proper divisors (200562960).

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

74240880 is a wasteful number, since it uses less digits than its factorization.

74240880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 74240880 is about 8616.3147574819. The cubic root of 74240880 is about 420.2886904097.

The spelling of 74240880 in words is "seventy-four million, two hundred forty thousand, eight hundred eighty".