1377769920 has 168 divisors, whose sum is σ = 4574566416. Its totient is φ = 351301632.

The previous prime is 1377769909. The next prime is 1377769931. The reversal of 1377769920 is 299677731.

It is an interprime number because it is at equal distance from previous prime (1377769909) and next prime (1377769931).

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 23 ways as a sum of consecutive naturals, for example, 506484 + ... + 509196.

It is an arithmetic number, because the mean of its divisors is an integer number (27229562).

Almost surely, 2^1377769920 is an apocalyptic number.

1377769920 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 1377769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287283208).

1377769920 is an abundant number, since it is smaller than the sum of its proper divisors (3196796496).

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

1377769920 is a wasteful number, since it uses less digits than its factorization.

1377769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 51.

The square root of 1377769920 is about 37118.3232379912. The cubic root of 1377769920 is about 1112.7362410393.

It can be divided in two parts, 137776 and 9920, that added together give a triangular number (147696 = T₅₄₃).

The spelling of 1377769920 in words is "one billion, three hundred seventy-seven million, seven hundred sixty-nine thousand, nine hundred twenty".