30077216 has 48 divisors (see below), whose sum is σ = 67536504. Its totient is φ = 13062144.

The previous prime is 30077213. The next prime is 30077221. The reversal of 30077216 is 61277003.

It can be written as a sum of positive squares in 4 ways, for example, as 18490000 + 11587216 = 4300^2 + 3404^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (30077213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4946 + ... + 9198.

Almost surely, 2^30077216 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 30077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33768252).

30077216 is an abundant number, since it is smaller than the sum of its proper divisors (37459288).

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

30077216 is a wasteful number, since it uses less digits than its factorization.

30077216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 30077216 is about 5484.2698693627. The cubic root of 30077216 is about 310.9896089414.

The spelling of 30077216 in words is "thirty million, seventy-seven thousand, two hundred sixteen".