30795120 has 160 divisors (see below), whose sum is σ = 108475200. Its totient is φ = 8027136.

The previous prime is 30795119. The next prime is 30795139. The reversal of 30795120 is 2159703.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114346 + ... + 114614.

It is an arithmetic number, because the mean of its divisors is an integer number (677970).

Almost surely, 2^30795120 is an apocalyptic number.

30795120 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 30795120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54237600).

30795120 is an abundant number, since it is smaller than the sum of its proper divisors (77680080).

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

30795120 is a wasteful number, since it uses less digits than its factorization.

30795120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 30795120 is about 5549.3350953065. The cubic root of 30795120 is about 313.4444854884. Note that the first 4 decimals are identical.

The spelling of 30795120 in words is "thirty million, seven hundred ninety-five thousand, one hundred twenty".