360775680 has 136 divisors (see below), whose sum is σ = 1157619072. Its totient is φ = 95944704.

The previous prime is 360775673. The next prime is 360775691. The reversal of 360775680 is 86577063.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 982857 + ... + 983223.

Almost surely, 2^360775680 is an apocalyptic number.

360775680 is a gapful number since it is divisible by the number (30) 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 360775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578809536).

360775680 is an abundant number, since it is smaller than the sum of its proper divisors (796843392).

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

360775680 is an frugal number, since it uses more digits than its factorization.

360775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 360775680 is about 18994.0959247867. The cubic root of 360775680 is about 711.8892223395.

The spelling of 360775680 in words is "three hundred sixty million, seven hundred seventy-five thousand, six hundred eighty".