74705400 has 432 divisors, whose sum is σ = 321594000. Its totient is φ = 15523200.

The previous prime is 74705377. The next prime is 74705417. The reversal of 74705400 is 450747.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6791395 + ... + 6791405.

Almost surely, 2^74705400 is an apocalyptic number.

74705400 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 74705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160797000).

74705400 is an abundant number, since it is smaller than the sum of its proper divisors (246888600).

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

74705400 is a wasteful number, since it uses less digits than its factorization.

74705400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 74705400 is about 8643.2285634478. The cubic root of 74705400 is about 421.1634408465.

The spelling of 74705400 in words is "seventy-four million, seven hundred five thousand, four hundred".