1377679680 has 336 divisors, whose sum is σ = 5272210944. Its totient is φ = 327905280.

The previous prime is 1377679631. The next prime is 1377679687. The reversal of 1377679680 is 869767731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377679687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1160047 + ... + 1161233.

It is an arithmetic number, because the mean of its divisors is an integer number (15691104).

Almost surely, 2^1377679680 is an apocalyptic number.

1377679680 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 1377679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636105472).

1377679680 is an abundant number, since it is smaller than the sum of its proper divisors (3894531264).

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

1377679680 is a wasteful number, since it uses less digits than its factorization.

1377679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 1377679680 is about 37117.1076459360. The cubic root of 1377679680 is about 1112.7119468256.

The spelling of 1377679680 in words is "one billion, three hundred seventy-seven million, six hundred seventy-nine thousand, six hundred eighty".