1378757760 has 128 divisors (see below), whose sum is σ = 4407428160. Its totient is φ = 366612480.

The previous prime is 1378757729. The next prime is 1378757771. The reversal of 1378757760 is 677578731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849750 + ... + 851370.

Almost surely, 2^1378757760 is an apocalyptic number.

1378757760 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 1378757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203714080).

1378757760 is an abundant number, since it is smaller than the sum of its proper divisors (3028670400).

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

1378757760 is a wasteful number, since it uses less digits than its factorization.

1378757760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 51.

The square root of 1378757760 is about 37131.6274892443. The cubic root of 1378757760 is about 1113.0021158061.

The spelling of 1378757760 in words is "one billion, three hundred seventy-eight million, seven hundred fifty-seven thousand, seven hundred sixty".