30700800 has 324 divisors, whose sum is σ = 121088604. Its totient is φ = 7372800.

The previous prime is 30700783. The next prime is 30700801. The reversal of 30700800 is 800703.

It can be written as a sum of positive squares in 6 ways, for example, as 10342656 + 20358144 = 3216^2 + 4512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30700801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748780 + ... + 748820.

Almost surely, 2^30700800 is an apocalyptic number.

30700800 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 30700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60544302).

30700800 is an abundant number, since it is smaller than the sum of its proper divisors (90387804).

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

30700800 is a wasteful number, since it uses less digits than its factorization.

30700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

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

The square root of 30700800 is about 5540.8302626953. The cubic root of 30700800 is about 313.1241499015.

The spelling of 30700800 in words is "thirty million, seven hundred thousand, eight hundred".