1377279904 has 384 divisors, whose sum is σ = 4010065920. Its totient is φ = 447897600.

The previous prime is 1377279901. The next prime is 1377279929. The reversal of 1377279904 is 4099727731.

It is not an unprimeable number, because it can be changed into a prime (1377279901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18866812 + ... + 18866884.

It is an arithmetic number, because the mean of its divisors is an integer number (10442880).

Almost surely, 2^1377279904 is an apocalyptic number.

1377279904 is a gapful number since it is divisible by the number (14) 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 1377279904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005032960).

1377279904 is an abundant number, since it is smaller than the sum of its proper divisors (2632786016).

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

1377279904 is a wasteful number, since it uses less digits than its factorization.

1377279904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 49.

The square root of 1377279904 is about 37111.7219217864. The cubic root of 1377279904 is about 1112.6043072506.

The spelling of 1377279904 in words is "one billion, three hundred seventy-seven million, two hundred seventy-nine thousand, nine hundred four".