1377381720 has 192 divisors, whose sum is σ = 4891995360. Its totient is φ = 308183040.

The previous prime is 1377381713. The next prime is 1377381737. The reversal of 1377381720 is 271837731.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 185112 + ... + 192408.

Almost surely, 2^1377381720 is an apocalyptic number.

1377381720 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 1377381720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445997680).

1377381720 is an abundant number, since it is smaller than the sum of its proper divisors (3514613640).

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

1377381720 is a wasteful number, since it uses less digits than its factorization.

1377381720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 1377381720 is about 37113.0936463130. The cubic root of 1377381720 is about 1112.6317231565.

The spelling of 1377381720 in words is "one billion, three hundred seventy-seven million, three hundred eighty-one thousand, seven hundred twenty".