1315180800 has 540 divisors, whose sum is σ = 5060249040. Its totient is φ = 336752640.

The previous prime is 1315180787. The next prime is 1315180819. The reversal of 1315180800 is 80815131.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22291171 + ... + 22291229.

Almost surely, 2^1315180800 is an apocalyptic number.

1315180800 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 1315180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530124520).

1315180800 is an abundant number, since it is smaller than the sum of its proper divisors (3745068240).

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

1315180800 is an equidigital number, since it uses as much as digits as its factorization.

1315180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1315180800 is about 36265.4215472535. The cubic root of 1315180800 is about 1095.6247138933.

Adding to 1315180800 its reverse (80815131), we get a palindrome (1395995931).

The spelling of 1315180800 in words is "one billion, three hundred fifteen million, one hundred eighty thousand, eight hundred".