1377984960 has 448 divisors, whose sum is σ = 5398617600. Its totient is φ = 332190720.

The previous prime is 1377984919. The next prime is 1377984973. The reversal of 1377984960 is 694897731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1377984897 and 1377984906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7698151 + ... + 7698329.

Almost surely, 2^1377984960 is an apocalyptic number.

1377984960 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 1377984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699308800).

1377984960 is an abundant number, since it is smaller than the sum of its proper divisors (4020632640).

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

1377984960 is an equidigital number, since it uses as much as digits as its factorization.

1377984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1377984960 is about 37121.2198075440. The cubic root of 1377984960 is about 1112.7941293582.

Adding to 1377984960 its product of nonzero digits (2286144), we get a square (1380271104 = 37152²).

The spelling of 1377984960 in words is "one billion, three hundred seventy-seven million, nine hundred eighty-four thousand, nine hundred sixty".