130880400 has 120 divisors (see below), whose sum is σ = 479177664. Its totient is φ = 29913600.

The previous prime is 130880389. The next prime is 130880401. The reversal of 130880400 is 4088031.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (130880401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610 + ... + 16190.

Almost surely, 2^130880400 is an apocalyptic number.

130880400 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 130880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239588832).

130880400 is an abundant number, since it is smaller than the sum of its proper divisors (348297264).

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

130880400 is a wasteful number, since it uses less digits than its factorization.

130880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15609 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 130880400 is about 11440.2971989367. The cubic root of 130880400 is about 507.7207012445.

The spelling of 130880400 in words is "one hundred thirty million, eight hundred eighty thousand, four hundred".