1377381800 has 96 divisors (see below), whose sum is σ = 3262291200. Its totient is φ = 540756480.

The previous prime is 1377381799. The next prime is 1377381809. The reversal of 1377381800 is 81837731.

It is not an unprimeable number, because it can be changed into a prime (1377381809) 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 23 ways as a sum of consecutive naturals, for example, 3969227 + ... + 3969573.

It is an arithmetic number, because the mean of its divisors is an integer number (33982200).

Almost surely, 2^1377381800 is an apocalyptic number.

1377381800 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 1377381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631145600).

1377381800 is an abundant number, since it is smaller than the sum of its proper divisors (1884909400).

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

1377381800 is a wasteful number, since it uses less digits than its factorization.

1377381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 1377381800 is about 37113.0947240997. The cubic root of 1377381800 is about 1112.6317446975.

The spelling of 1377381800 in words is "one billion, three hundred seventy-seven million, three hundred eighty-one thousand, eight hundred".