30094800 has 120 divisors (see below), whose sum is σ = 99636480. Its totient is φ = 7756800.

The previous prime is 30094789. The next prime is 30094807. The reversal of 30094800 is 849003.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30094807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36796 + ... + 37604.

It is an arithmetic number, because the mean of its divisors is an integer number (830304).

Almost surely, 2^30094800 is an apocalyptic number.

30094800 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 30094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49818240).

30094800 is an abundant number, since it is smaller than the sum of its proper divisors (69541680).

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

30094800 is a wasteful number, since it uses less digits than its factorization.

30094800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30094800 is about 5485.8727655679. The cubic root of 30094800 is about 311.0502016057.

The spelling of 30094800 in words is "thirty million, ninety-four thousand, eight hundred".