1396180800 has 756 divisors, whose sum is σ = 6199042720. Its totient is φ = 302330880.

The previous prime is 1396180769. The next prime is 1396180817. The reversal of 1396180800 is 80816931.

1396180800 is a `hidden beast` number, since 1 + 39 + 618 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73483191 + ... + 73483209.

Almost surely, 2^1396180800 is an apocalyptic number.

1396180800 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 1396180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099521360).

1396180800 is an abundant number, since it is smaller than the sum of its proper divisors (4802861920).

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

1396180800 is an frugal number, since it uses more digits than its factorization.

1396180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1396180800 is about 37365.5028067334. The cubic root of 1396180800 is about 1117.6707545028.

The spelling of 1396180800 in words is "one billion, three hundred ninety-six million, one hundred eighty thousand, eight hundred".