74834880 has 112 divisors (see below), whose sum is σ = 239755680. Its totient is φ = 19775488.

The previous prime is 74834791. The next prime is 74834909. The reversal of 74834880 is 8843847.

It is a super-2 number, since 2×74834880² = 11200518529228800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 131236 + ... + 131804.

Almost surely, 2^74834880 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 74834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119877840).

74834880 is an abundant number, since it is smaller than the sum of its proper divisors (164920800).

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

74834880 is a wasteful number, since it uses less digits than its factorization.

74834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 74834880 is about 8650.7155773381. The cubic root of 74834880 is about 421.4066216937.

The spelling of 74834880 in words is "seventy-four million, eight hundred thirty-four thousand, eight hundred eighty".