30782468880 has 200 divisors, whose sum is σ = 108016466712. Its totient is φ = 8123867136.

The previous prime is 30782468869. The next prime is 30782468881. The reversal of 30782468880 is 8886428703.

30782468880 is a `hidden beast` number, since 30 + 78 + 2 + 468 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 30774983184 = 2736^2 + 175428^2 .

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 (30782468881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 604074 + ... + 653046.

Almost surely, 2^30782468880 is an apocalyptic number.

30782468880 is a gapful number since it is divisible by the number (30) 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 30782468880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54008233356).

30782468880 is an abundant number, since it is smaller than the sum of its proper divisors (77233997832).

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

30782468880 is a wasteful number, since it uses less digits than its factorization.

30782468880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49095 (or 49080 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 30782468880 in words is "thirty billion, seven hundred eighty-two million, four hundred sixty-eight thousand, eight hundred eighty".