30794400 has 432 divisors, whose sum is σ = 136491264. Its totient is φ = 6359040.

The previous prime is 30794399. The next prime is 30794417. The reversal of 30794400 is 449703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655177 + ... + 655223.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 2^30794400 is an apocalyptic number.

30794400 is a gapful number since it is divisible by the number (30) 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 30794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

30794400 is an abundant number, since it is smaller than the sum of its proper divisors (105696864).

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

30794400 is a wasteful number, since it uses less digits than its factorization.

30794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30794400 is about 5549.2702222905. The cubic root of 30794400 is about 313.4420426578.

It can be divided in two parts, 30 and 794400, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 30794400 in words is "thirty million, seven hundred ninety-four thousand, four hundred".