164780 has 48 divisors (see below), whose sum is σ = 435456. Its totient is φ = 50880.

The previous prime is 164771. The next prime is 164789. The reversal of 164780 is 87461.

164780 = 140² + 141² + ... + 147².

It is an interprime number because it is at equal distance from previous prime (164771) and next prime (164789).

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (164789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1487 + ... + 1593.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹⁶⁴⁷⁸⁰ is an apocalyptic number.

164780 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 164780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728).

164780 is an abundant number, since it is smaller than the sum of its proper divisors (270676).

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

164780 is a wasteful number, since it uses less digits than its factorization.

164780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 164780 is about 405.9310286243. The cubic root of 164780 is about 54.8236777641.

The spelling of 164780 in words is "one hundred sixty-four thousand, seven hundred eighty".