74400768 has 264 divisors, whose sum is σ = 250356288. Its totient is φ = 21897216.

The previous prime is 74400761. The next prime is 74400769. The reversal of 74400768 is 86700447.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (74400761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234805 + ... + 3234827.

Almost surely, 2^74400768 is an apocalyptic number.

74400768 is a gapful number since it is divisible by the number (78) 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 74400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125178144).

74400768 is an abundant number, since it is smaller than the sum of its proper divisors (175955520).

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

74400768 is a wasteful number, since it uses less digits than its factorization.

74400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

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

The square root of 74400768 is about 8625.5879799582. The cubic root of 74400768 is about 420.5901906744.

The spelling of 74400768 in words is "seventy-four million, four hundred thousand, seven hundred sixty-eight".