30790320 has 160 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 7326720.

The previous prime is 30790313. The next prime is 30790321. The reversal of 30790320 is 2309703.

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 (30790321) 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 31 ways as a sum of consecutive naturals, for example, 282426 + ... + 282534.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 2^30790320 is an apocalyptic number.

30790320 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 30790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

30790320 is an abundant number, since it is smaller than the sum of its proper divisors (75274320).

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

30790320 is a wasteful number, since it uses less digits than its factorization.

30790320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 30790320 is about 5548.9025942073. The cubic root of 30790320 is about 313.4281992315.

The spelling of 30790320 in words is "thirty million, seven hundred ninety thousand, three hundred twenty".