30400800 has 144 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 7920640.

The previous prime is 30400789. The next prime is 30400813. The reversal of 30400800 is 800403.

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 30400800.

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, 127081 + ... + 127319.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^30400800 is an apocalyptic number.

30400800 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 30400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

30400800 is an abundant number, since it is smaller than the sum of its proper divisors (70842720).

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

30400800 is a wasteful number, since it uses less digits than its factorization.

30400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 302 counting only the distinct ones).

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

The square root of 30400800 is about 5513.6920479838. The cubic root of 30400800 is about 312.1008878206.

The spelling of 30400800 in words is "thirty million, four hundred thousand, eight hundred".