30778030080 has 1344 divisors, whose sum is σ = 137497651200. Its totient is φ = 6449725440.

The previous prime is 30778030079. The next prime is 30778030109. The reversal of 30778030080 is 8003087703.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 992839665 + ... + 992839695.

It is an arithmetic number, because the mean of its divisors is an integer number (102304800).

Almost surely, 2^30778030080 is an apocalyptic number.

30778030080 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 30778030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68748825600).

30778030080 is an abundant number, since it is smaller than the sum of its proper divisors (106719621120).

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

30778030080 is an equidigital number, since it uses as much as digits as its factorization.

30778030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 30778030080 in words is "thirty billion, seven hundred seventy-eight million, thirty thousand, eighty".