30780172800 has 1440 divisors, whose sum is σ = 133712156160. Its totient is φ = 6900940800.

The previous prime is 30780172789. The next prime is 30780172853. The reversal of 30780172800 is 827108703.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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, 992908785 + ... + 992908815.

It is an arithmetic number, because the mean of its divisors is an integer number (92855664).

Almost surely, 2^30780172800 is an apocalyptic number.

30780172800 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 30780172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66856078080).

30780172800 is an abundant number, since it is smaller than the sum of its proper divisors (102931983360).

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

30780172800 is a wasteful number, since it uses less digits than its factorization.

30780172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 30780172800 in words is "thirty billion, seven hundred eighty million, one hundred seventy-two thousand, eight hundred".