74870400 has 192 divisors, whose sum is σ = 269402400. Its totient is φ = 18124800.

The previous prime is 74870381. The next prime is 74870407. The reversal of 74870400 is 407847.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (74870407) 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, 105246 + ... + 105954.

Almost surely, 2^74870400 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 74870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134701200).

74870400 is an abundant number, since it is smaller than the sum of its proper divisors (194532000).

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

74870400 is a wasteful number, since it uses less digits than its factorization.

74870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 74870400 is about 8652.7683431374. The cubic root of 74870400 is about 421.4732839934.

The spelling of 74870400 in words is "seventy-four million, eight hundred seventy thousand, four hundred".