30777088356 has 81 divisors (see below), whose sum is σ = 90520966809. Its totient is φ = 8791348608.

The previous prime is 30777088343. The next prime is 30777088357. The reversal of 30777088356 is 65388077703.

The square root of 30777088356 is 175434.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28436076900 + 2341011456 = 168630^2 + 48384^2 .

It is not an unprimeable number, because it can be changed into a prime (30777088357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7366140 + ... + 7370316.

Almost surely, 2^30777088356 is an apocalyptic number.

30777088356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30777088356 is the 175434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30777088356

30777088356 is an abundant number, since it is smaller than the sum of its proper divisors (59743878453).

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

30777088356 is an equidigital number, since it uses as much as digits as its factorization.

30777088356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 30777088356 in words is "thirty billion, seven hundred seventy-seven million, eighty-eight thousand, three hundred fifty-six".