30780288 has 192 divisors, whose sum is σ = 110747520. Its totient is φ = 7971840.

The previous prime is 30780287. The next prime is 30780289. The reversal of 30780288 is 88208703.

It is an interprime number because it is at equal distance from previous prime (30780287) and next prime (30780289).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×30780288² = 1894852258725888, 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 (30780283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88531 + ... + 88877.

It is an arithmetic number, because the mean of its divisors is an integer number (576810).

Almost surely, 2^30780288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30780288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55373760).

30780288 is an abundant number, since it is smaller than the sum of its proper divisors (79967232).

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

30780288 is a wasteful number, since it uses less digits than its factorization.

30780288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 30780288 is about 5547.9985580387. The cubic root of 30780288 is about 313.3941554883.

The spelling of 30780288 in words is "thirty million, seven hundred eighty thousand, two hundred eighty-eight".