74057760 has 384 divisors, whose sum is σ = 309657600. Its totient is φ = 16174080.

The previous prime is 74057747. The next prime is 74057771. The reversal of 74057760 is 6775047.

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 (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937401 + ... + 937479.

It is an arithmetic number, because the mean of its divisors is an integer number (806400).

Almost surely, 2^74057760 is an apocalyptic number.

74057760 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 74057760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

74057760 is an abundant number, since it is smaller than the sum of its proper divisors (235599840).

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

74057760 is a wasteful number, since it uses less digits than its factorization.

74057760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 74057760 is about 8605.6818439912. The cubic root of 74057760 is about 419.9428493666.

The spelling of 74057760 in words is "seventy-four million, fifty-seven thousand, seven hundred sixty".