130784400 has 180 divisors, whose sum is σ = 480780612. Its totient is φ = 32808960.

The previous prime is 130784399. The next prime is 130784431. The reversal of 130784400 is 4487031.

It can be written as a sum of positive squares in 6 ways, for example, as 9960336 + 120824064 = 3156^2 + 10992^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60132 + ... + 62268.

Almost surely, 2^130784400 is an apocalyptic number.

130784400 is a gapful number since it is divisible by the number (10) 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 130784400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240390306).

130784400 is an abundant number, since it is smaller than the sum of its proper divisors (349996212).

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

130784400 is a wasteful number, since it uses less digits than its factorization.

130784400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 130784400 is about 11436.1007340789. The cubic root of 130784400 is about 507.5965341696.

The spelling of 130784400 in words is "one hundred thirty million, seven hundred eighty-four thousand, four hundred".