74982400 has 132 divisors (see below), whose sum is σ = 194178420. Its totient is φ = 28672000.

The previous prime is 74982389. The next prime is 74982403. The reversal of 74982400 is 428947.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1982464 + 72999936 = 1408^2 + 8544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74982403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 742350 + ... + 742450.

Almost surely, 2^74982400 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 74982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97089210).

74982400 is an abundant number, since it is smaller than the sum of its proper divisors (119196020).

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

74982400 is a wasteful number, since it uses less digits than its factorization.

74982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 74982400 is about 8659.2378417503. The cubic root of 74982400 is about 421.6833424815.

The spelling of 74982400 in words is "seventy-four million, nine hundred eighty-two thousand, four hundred".