1377781920 has 192 divisors, whose sum is σ = 4935047040. Its totient is φ = 358815744.

The previous prime is 1377781907. The next prime is 1377781931. The reversal of 1377781920 is 291877731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182052 + ... + 189468.

It is an arithmetic number, because the mean of its divisors is an integer number (25703370).

Almost surely, 2^1377781920 is an apocalyptic number.

1377781920 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 1377781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467523520).

1377781920 is an abundant number, since it is smaller than the sum of its proper divisors (3557265120).

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

1377781920 is a wasteful number, since it uses less digits than its factorization.

1377781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 1377781920 is about 37118.4848828720. The cubic root of 1377781920 is about 1112.7394715729.

The spelling of 1377781920 in words is "one billion, three hundred seventy-seven million, seven hundred eighty-one thousand, nine hundred twenty".