1375180800 has 288 divisors, whose sum is σ = 5199667200. Its totient is φ = 314081280.

The previous prime is 1375180759. The next prime is 1375180811. The reversal of 1375180800 is 80815731.

It is a super-2 number, since 2×1375180800² = 3782244465377280000, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1074561 + ... + 1075839.

It is an arithmetic number, because the mean of its divisors is an integer number (18054400).

Almost surely, 2^1375180800 is an apocalyptic number.

1375180800 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 1375180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599833600).

1375180800 is an abundant number, since it is smaller than the sum of its proper divisors (3824486400).

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

1375180800 is a wasteful number, since it uses less digits than its factorization.

1375180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1375180800 is about 37083.4302620456. The cubic root of 1375180800 is about 1112.0387820092.

The spelling of 1375180800 in words is "one billion, three hundred seventy-five million, one hundred eighty thousand, eight hundred".