74360880 has 240 divisors, whose sum is σ = 280294560. Its totient is φ = 17510400.

The previous prime is 74360857. The next prime is 74360899. The reversal of 74360880 is 8806347.

74360880 is a `hidden beast` number, since 7 + 43 + 608 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324606 + ... + 324834.

It is an arithmetic number, because the mean of its divisors is an integer number (1167894).

Almost surely, 2^74360880 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 74360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147280).

74360880 is an abundant number, since it is smaller than the sum of its proper divisors (205933680).

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

74360880 is a wasteful number, since it uses less digits than its factorization.

74360880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74360880 is about 8623.2754797699. The cubic root of 74360880 is about 420.5150144768.

The spelling of 74360880 in words is "seventy-four million, three hundred sixty thousand, eight hundred eighty".