30070800 has 90 divisors (see below), whose sum is σ = 104366522. Its totient is φ = 8017920.

The previous prime is 30070771. The next prime is 30070813. The reversal of 30070800 is 807003.

It can be written as a sum of positive squares in 3 ways, for example, as 3196944 + 26873856 = 1788^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 577 + ... + 7776.

Almost surely, 2^30070800 is an apocalyptic number.

30070800 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 30070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52183261).

30070800 is an abundant number, since it is smaller than the sum of its proper divisors (74295722).

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

30070800 is a wasteful number, since it uses less digits than its factorization.

30070800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 30070800 is about 5483.6848924788. The cubic root of 30070800 is about 310.9674941815.

Adding to 30070800 its reverse (807003), we get a palindrome (30877803).

The spelling of 30070800 in words is "thirty million, seventy thousand, eight hundred".