1377869680 has 80 divisors (see below), whose sum is σ = 3517390944. Its totient is φ = 497802240.

The previous prime is 1377869641. The next prime is 1377869687. The reversal of 1377869680 is 869687731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377869687) 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 15 ways as a sum of consecutive naturals, for example, 133174 + ... + 143146.

Almost surely, 2^1377869680 is an apocalyptic number.

1377869680 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 1377869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758695472).

1377869680 is an abundant number, since it is smaller than the sum of its proper divisors (2139521264).

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

1377869680 is a wasteful number, since it uses less digits than its factorization.

1377869680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The square root of 1377869680 is about 37119.6670243686. The cubic root of 1377869680 is about 1112.7630969719.

The spelling of 1377869680 in words is "one billion, three hundred seventy-seven million, eight hundred sixty-nine thousand, six hundred eighty".