1380804480 has 768 divisors, whose sum is σ = 5804697600. Its totient is φ = 298598400.

The previous prime is 1380804427. The next prime is 1380804527. The reversal of 1380804480 is 844080831.

1380804480 is a `hidden beast` number, since 138 + 0 + 80 + 448 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 37319022 + ... + 37319058.

It is an arithmetic number, because the mean of its divisors is an integer number (7558200).

Almost surely, 2^1380804480 is an apocalyptic number.

1380804480 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 1380804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902348800).

1380804480 is an abundant number, since it is smaller than the sum of its proper divisors (4423893120).

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

1380804480 is a wasteful number, since it uses less digits than its factorization.

1380804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1380804480 is about 37159.1776012333. The cubic root of 1380804480 is about 1113.5525817106.

The spelling of 1380804480 in words is "one billion, three hundred eighty million, eight hundred four thousand, four hundred eighty".