74284800 has 216 divisors, whose sum is σ = 253202544. Its totient is φ = 19169280.

The previous prime is 74284787. The next prime is 74284801. The reversal of 74284800 is 848247.

It is a super-2 number, since 2×74284800² = 11036463022080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74284801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1017564 + ... + 1017636.

It is an arithmetic number, because the mean of its divisors is an integer number (1172234).

Almost surely, 2^74284800 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 74284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126601272).

74284800 is an abundant number, since it is smaller than the sum of its proper divisors (178917744).

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

74284800 is a wasteful number, since it uses less digits than its factorization.

74284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 74284800 is about 8618.8630340666. The cubic root of 74284800 is about 420.3715532944.

The spelling of 74284800 in words is "seventy-four million, two hundred eighty-four thousand, eight hundred".