30807400 has 144 divisors (see below), whose sum is σ = 83939940. Its totient is φ = 10444800.

The previous prime is 30807377. The next prime is 30807407. The reversal of 30807400 is 470803.

It can be written as a sum of positive squares in 18 ways, for example, as 3118756 + 27688644 = 1766^2 + 5262^2 .

It is not an unprimeable number, because it can be changed into a prime (30807407) 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, 751380 + ... + 751420.

Almost surely, 2^30807400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30807400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41969970).

30807400 is an abundant number, since it is smaller than the sum of its proper divisors (53132540).

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

30807400 is a wasteful number, since it uses less digits than its factorization.

30807400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 30807400 is about 5550.4414238869. The cubic root of 30807400 is about 313.4861434607.

The spelling of 30807400 in words is "thirty million, eight hundred seven thousand, four hundred".