180770400 has 144 divisors (see below), whose sum is σ = 653864400. Its totient is φ = 48199680.

The previous prime is 180770371. The next prime is 180770441. The reversal of 180770400 is 4077081.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17416 + ... + 25784.

It is an arithmetic number, because the mean of its divisors is an integer number (4540725).

Almost surely, 2^180770400 is an apocalyptic number.

180770400 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 180770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326932200).

180770400 is an abundant number, since it is smaller than the sum of its proper divisors (473094000).

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

180770400 is a wasteful number, since it uses less digits than its factorization.

180770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8398 (or 8379 counting only the distinct ones).

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

The square root of 180770400 is about 13445.0883225065. The cubic root of 180770400 is about 565.4259976759.

The spelling of 180770400 in words is "one hundred eighty million, seven hundred seventy thousand, four hundred".