1378140800 has 96 divisors (see below), whose sum is σ = 3419228700. Its totient is φ = 548864000.

The previous prime is 1378140781. The next prime is 1378140811. The reversal of 1378140800 is 80418731.

It can be written as a sum of positive squares in 6 ways, for example, as 637865536 + 740275264 = 25256^2 + 27208^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 860000 + ... + 861600.

Almost surely, 2^1378140800 is an apocalyptic number.

1378140800 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 1378140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709614350).

1378140800 is an abundant number, since it is smaller than the sum of its proper divisors (2041087900).

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

1378140800 is a wasteful number, since it uses less digits than its factorization.

1378140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1378140800 is about 37123.3188171532. The cubic root of 1378140800 is about 1112.8360773971.

The spelling of 1378140800 in words is "one billion, three hundred seventy-eight million, one hundred forty thousand, eight hundred".