74822400 has 216 divisors, whose sum is σ = 274999760. Its totient is φ = 19906560.

The previous prime is 74822387. The next prime is 74822467. The reversal of 74822400 is 422847.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 172584 + ... + 173016.

Almost surely, 2^74822400 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 74822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137499880).

74822400 is an abundant number, since it is smaller than the sum of its proper divisors (200177360).

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

74822400 is a wasteful number, since it uses less digits than its factorization.

74822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 443 counting only the distinct ones).

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

The square root of 74822400 is about 8649.9942196512. The cubic root of 74822400 is about 421.3831947970.

The spelling of 74822400 in words is "seventy-four million, eight hundred twenty-two thousand, four hundred".