180774000 has 360 divisors, whose sum is σ = 702361296. Its totient is φ = 43296000.

The previous prime is 180773977. The next prime is 180774001. The reversal of 180774000 is 477081.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180774001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2177959 + ... + 2178041.

Almost surely, 2^180774000 is an apocalyptic number.

180774000 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 180774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351180648).

180774000 is an abundant number, since it is smaller than the sum of its proper divisors (521587296).

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

180774000 is a wasteful number, since it uses less digits than its factorization.

180774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 180774000 is about 13445.2221997258. Note that the first 3 decimals coincide. The cubic root of 180774000 is about 565.4297510929.

The spelling of 180774000 in words is "one hundred eighty million, seven hundred seventy-four thousand".