1378776000 has 448 divisors, whose sum is σ = 5401543680. Its totient is φ = 303206400.

The previous prime is 1378775977. The next prime is 1378776001. The reversal of 1378776000 is 6778731.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1378776000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378776001) 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, 4871859 + ... + 4872141.

Almost surely, 2^1378776000 is an apocalyptic number.

1378776000 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 1378776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700771840).

1378776000 is an abundant number, since it is smaller than the sum of its proper divisors (4022767680).

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

1378776000 is a wasteful number, since it uses less digits than its factorization.

1378776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 1378776000 is about 37131.8731011513. The cubic root of 1378776000 is about 1113.0070238641.

The spelling of 1378776000 in words is "one billion, three hundred seventy-eight million, seven hundred seventy-six thousand".