30779782272 has 120 divisors (see below), whose sum is σ = 91653327315. Its totient is φ = 10253972736.

The previous prime is 30779782237. The next prime is 30779782273. The reversal of 30779782272 is 27228797703.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 15389891136 + 15389891136 = 124056^2 + 124056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=124056.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30779782273) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17863203 + ... + 17864925.

Almost surely, 2^30779782272 is an apocalyptic number.

30779782272 is a gapful number since it is divisible by the number (32) 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 30779782272

30779782272 is an abundant number, since it is smaller than the sum of its proper divisors (60873545043).

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

30779782272 is an frugal number, since it uses more digits than its factorization.

30779782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 30779782272 in words is "thirty billion, seven hundred seventy-nine million, seven hundred eighty-two thousand, two hundred seventy-two".