30777568 has 48 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 14449536.

The previous prime is 30777563. The next prime is 30777569. The reversal of 30777568 is 86577703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30777563) 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, 135471 + ... + 135697.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^30777568 is an apocalyptic number.

30777568 is a gapful number since it is divisible by the number (38) 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 30777568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

30777568 is an abundant number, since it is smaller than the sum of its proper divisors (33573152).

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

30777568 is a wasteful number, since it uses less digits than its factorization.

30777568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The square root of 30777568 is about 5547.7534191779. The cubic root of 30777568 is about 313.3849238526.

The spelling of 30777568 in words is "thirty million, seven hundred seventy-seven thousand, five hundred sixty-eight".