1530880000 has 280 divisors, whose sum is σ = 4299161328. Its totient is φ = 540672000.

The previous prime is 1530879983. The next prime is 1530880003. The reversal of 1530880000 is 880351.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530880003) 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 19 ways as a sum of consecutive naturals, for example, 66559989 + ... + 66560011.

Almost surely, 2^1530880000 is an apocalyptic number.

1530880000 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 1530880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149580664).

1530880000 is an abundant number, since it is smaller than the sum of its proper divisors (2768281328).

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

1530880000 is an frugal number, since it uses more digits than its factorization.

1530880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1530880000 is about 39126.4616340399. The cubic root of 1530880000 is about 1152.5162295401.

The spelling of 1530880000 in words is "one billion, five hundred thirty million, eight hundred eighty thousand".