1375082800 has 240 divisors, whose sum is σ = 4179996352. Its totient is φ = 423014400.

The previous prime is 1375082759. The next prime is 1375082809. The reversal of 1375082800 is 82805731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375082809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1346290 + ... + 1347310.

Almost surely, 2^1375082800 is an apocalyptic number.

1375082800 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 1375082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089998176).

1375082800 is an abundant number, since it is smaller than the sum of its proper divisors (2804913552).

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

1375082800 is a wasteful number, since it uses less digits than its factorization.

1375082800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1375082800 is about 37082.1088936430. The cubic root of 1375082800 is about 1112.0123655095.

The spelling of 1375082800 in words is "one billion, three hundred seventy-five million, eighty-two thousand, eight hundred".