30798720 has 96 divisors (see below), whose sum is σ = 106371720. Its totient is φ = 8211456.

The previous prime is 30798709. The next prime is 30798721. The reversal of 30798720 is 2789703.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30798720² = 1897122307276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30798721) 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 11 ways as a sum of consecutive naturals, for example, 3087 + ... + 8433.

Almost surely, 2^30798720 is an apocalyptic number.

30798720 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 30798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53185860).

30798720 is an abundant number, since it is smaller than the sum of its proper divisors (75573000).

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

30798720 is a wasteful number, since it uses less digits than its factorization.

30798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 30798720 is about 5549.6594490113. The cubic root of 30798720 is about 313.4566990705.

The spelling of 30798720 in words is "thirty million, seven hundred ninety-eight thousand, seven hundred twenty".