30080400 has 120 divisors (see below), whose sum is σ = 110153664. Its totient is φ = 6873600.

The previous prime is 30080377. The next prime is 30080417. The reversal of 30080400 is 408003.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30080400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6610 + ... + 10190.

Almost surely, 2^30080400 is an apocalyptic number.

30080400 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 30080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55076832).

30080400 is an abundant number, since it is smaller than the sum of its proper divisors (80073264).

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

30080400 is a wasteful number, since it uses less digits than its factorization.

30080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30080400 is about 5484.5601464475. The cubic root of 30080400 is about 311.0005824302. Note that the first 3 decimals are identical.

Adding to 30080400 its reverse (408003), we get a palindrome (30488403).

The spelling of 30080400 in words is "thirty million, eighty thousand, four hundred".