1377995760 has 160 divisors (see below), whose sum is σ = 4836386880. Its totient is φ = 360502272.

The previous prime is 1377995747. The next prime is 1377995777. The reversal of 1377995760 is 675997731.

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 = 1377995697 and 1377995706.

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 31 ways as a sum of consecutive naturals, for example, 108462 + ... + 120498.

It is an arithmetic number, because the mean of its divisors is an integer number (30227418).

Almost surely, 2^1377995760 is an apocalyptic number.

1377995760 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 1377995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418193440).

1377995760 is an abundant number, since it is smaller than the sum of its proper divisors (3458391120).

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

1377995760 is a wasteful number, since it uses less digits than its factorization.

1377995760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 54.

The square root of 1377995760 is about 37121.3652766166. The cubic root of 1377995760 is about 1112.7970365368.

The spelling of 1377995760 in words is "one billion, three hundred seventy-seven million, nine hundred ninety-five thousand, seven hundred sixty".