74440800 has 324 divisors, whose sum is σ = 306800676. Its totient is φ = 16934400.

The previous prime is 74440777. The next prime is 74440813. The reversal of 74440800 is 804447.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 352695 + ... + 352905.

Almost surely, 2^74440800 is an apocalyptic number.

74440800 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 74440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153400338).

74440800 is an abundant number, since it is smaller than the sum of its proper divisors (232359876).

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

74440800 is a wasteful number, since it uses less digits than its factorization.

74440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74440800 is about 8627.9082053531. The cubic root of 74440800 is about 420.6656112562.

The spelling of 74440800 in words is "seventy-four million, four hundred forty thousand, eight hundred".