1530676800 has 126 divisors (see below), whose sum is σ = 5440437938. Its totient is φ = 408176640.

The previous prime is 1530676789. The next prime is 1530676867. The reversal of 1530676800 is 86760351.

1530676800 is a `hidden beast` number, since 1 + 530 + 67 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 150405696 + 1380271104 = 12264^2 + 37152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 38749 + ... + 67548.

Almost surely, 2^1530676800 is an apocalyptic number.

1530676800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1530676800 is an abundant number, since it is smaller than the sum of its proper divisors (3909761138).

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

1530676800 is a wasteful number, since it uses less digits than its factorization.

1530676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106325 (or 106307 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1530676800 is about 39123.8648397624. The cubic root of 1530676800 is about 1152.4652345437.

The spelling of 1530676800 in words is "one billion, five hundred thirty million, six hundred seventy-six thousand, eight hundred".