30798000 has 240 divisors, whose sum is σ = 113162400. Its totient is φ = 7795200.

The previous prime is 30797959. The next prime is 30798013. The reversal of 30798000 is 89703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521971 + ... + 522029.

It is an arithmetic number, because the mean of its divisors is an integer number (471510).

Almost surely, 2^30798000 is an apocalyptic number.

30798000 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 30798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56581200).

30798000 is an abundant number, since it is smaller than the sum of its proper divisors (82364400).

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

30798000 is a wasteful number, since it uses less digits than its factorization.

30798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 30798000 is about 5549.5945797869. The cubic root of 30798000 is about 313.4542564302.

The spelling of 30798000 in words is "thirty million, seven hundred ninety-eight thousand".