30799828800 has 840 divisors, whose sum is σ = 123808476792. Its totient is φ = 7464960000.

The previous prime is 30799828783. The next prime is 30799828867. The reversal of 30799828800 is 882899703.

It can be written as a sum of positive squares in 12 ways, for example, as 15140810304 + 15659018496 = 123048^2 + 125136^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170164710 + ... + 170164890.

Almost surely, 2^30799828800 is an apocalyptic number.

30799828800 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 30799828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61904238396).

30799828800 is an abundant number, since it is smaller than the sum of its proper divisors (93008647992).

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

30799828800 is a wasteful number, since it uses less digits than its factorization.

30799828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 30799828800 in words is "thirty billion, seven hundred ninety-nine million, eight hundred twenty-eight thousand, eight hundred".