30777648 has 80 divisors (see below), whose sum is σ = 88065792. Its totient is φ = 9184000.

The previous prime is 30777647. The next prime is 30777661. The reversal of 30777648 is 84677703.

It is not an unprimeable number, because it can be changed into a prime (30777641) 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 15 ways as a sum of consecutive naturals, for example, 37078 + ... + 37898.

Almost surely, 2^30777648 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 30777648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44032896).

30777648 is an abundant number, since it is smaller than the sum of its proper divisors (57288144).

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

30777648 is a wasteful number, since it uses less digits than its factorization.

30777648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 30777648 is about 5547.7606292990. The cubic root of 30777648 is about 313.3851953791.

The spelling of 30777648 in words is "thirty million, seven hundred seventy-seven thousand, six hundred forty-eight".