30788780400 has 720 divisors, whose sum is σ = 130160669184. Its totient is φ = 6841635840.

The previous prime is 30788780371. The next prime is 30788780431. The reversal of 30788780400 is 408788703.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25174189 + ... + 25175411.

Almost surely, 2^30788780400 is an apocalyptic number.

30788780400 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 30788780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65080334592).

30788780400 is an abundant number, since it is smaller than the sum of its proper divisors (99371888784).

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

30788780400 is a wasteful number, since it uses less digits than its factorization.

30788780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 30788780400 in words is "thirty billion, seven hundred eighty-eight million, seven hundred eighty thousand, four hundred".