30774400 has 96 divisors (see below), whose sum is σ = 77785200. Its totient is φ = 12026880.

The previous prime is 30774379. The next prime is 30774449. The reversal of 30774400 is 447703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188719 + ... + 188881.

Almost surely, 2^30774400 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 30774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38892600).

30774400 is an abundant number, since it is smaller than the sum of its proper divisors (47010800).

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

30774400 is a wasteful number, since it uses less digits than its factorization.

30774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 30774400 is about 5547.4678908489. The cubic root of 30774400 is about 313.3741710265.

The spelling of 30774400 in words is "thirty million, seven hundred seventy-four thousand, four hundred".