74786400 has 432 divisors, whose sum is σ = 307105344. Its totient is φ = 16957440.

The previous prime is 74786351. The next prime is 74786401. The reversal of 74786400 is 468747.

It is a happy number.

74786400 is a `hidden beast` number, since 7 + 4 + 7 + 8 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74786401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1591177 + ... + 1591223.

It is an arithmetic number, because the mean of its divisors is an integer number (710892).

Almost surely, 2^74786400 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 74786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

74786400 is an abundant number, since it is smaller than the sum of its proper divisors (232318944).

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

74786400 is a wasteful number, since it uses less digits than its factorization.

74786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 74786400 is about 8647.9130430411. The cubic root of 74786400 is about 421.3156026116.

The spelling of 74786400 in words is "seventy-four million, seven hundred eighty-six thousand, four hundred".