13780000 has 120 divisors (see below), whose sum is σ = 37197468. Its totient is φ = 4992000.

The previous prime is 13779973. The next prime is 13780003. The reversal of 13780000 is 8731.

It can be written as a sum of positive squares in 10 ways, for example, as 1752976 + 12027024 = 1324^2 + 3468^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13780000.

It is not an unprimeable number, because it can be changed into a prime (13780003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259974 + ... + 260026.

Almost surely, 2^13780000 is an apocalyptic number.

13780000 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 13780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18598734).

13780000 is an abundant number, since it is smaller than the sum of its proper divisors (23417468).

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

13780000 is an equidigital number, since it uses as much as digits as its factorization.

13780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 13780000 is about 3712.1422386541. The cubic root of 13780000 is about 239.7450997406.

Adding to 13780000 its reverse (8731), we get a palindrome (13788731).

The spelling of 13780000 in words is "thirteen million, seven hundred eighty thousand".