190800 has 90 divisors (see below), whose sum is σ = 674622. Its totient is φ = 49920.

The previous prime is 190793. The next prime is 190807. The reversal of 190800 is 8091.

It is an interprime number because it is at equal distance from previous prime (190793) and next prime (190807).

It can be written as a sum of positive squares in 3 ways, for example, as 24336 + 166464 = 156^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190807) by changing a digit.

190800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3574 + ... + 3626.

2¹⁹⁰⁸⁰⁰ is an apocalyptic number.

190800 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 190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337311).

190800 is an abundant number, since it is smaller than the sum of its proper divisors (483822).

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

190800 is a wasteful number, since it uses less digits than its factorization.

190800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 190800 is about 436.8065933568. The cubic root of 190800 is about 57.5695440845.

Adding to 190800 its reverse (8091), we get a palindrome (198891).

It can be divided in two parts, 190 and 800, that added together give a triangular number (990 = T₄₄).

The spelling of 190800 in words is "one hundred ninety thousand, eight hundred".