13770 has 40 divisors (see below), whose sum is σ = 39204. Its totient is φ = 3456.

The previous prime is 13763. The next prime is 13781. The reversal of 13770 is 7731.

It can be written as a sum of positive squares in 2 ways, for example, as 13689 + 81 = 117^2 + 9^2 .

It is a super-2 number, since 2×13770² = 379225800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) 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 (18).

13770 is an undulating number in base 13.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 802 + ... + 818.

2¹³⁷⁷⁰ is an apocalyptic number.

13770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602).

13770 is an abundant number, since it is smaller than the sum of its proper divisors (25434).

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

13770 is a wasteful number, since it uses less digits than its factorization.

13770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 13770 is about 117.3456432936. The cubic root of 13770 is about 23.9687092214.

The spelling of 13770 in words is "thirteen thousand, seven hundred seventy".