360790080 has 224 divisors, whose sum is σ = 1335170304. Its totient is φ = 80830464.

The previous prime is 360790057. The next prime is 360790091. The reversal of 360790080 is 80097063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355654 + ... + 356666.

Almost surely, 2^360790080 is an apocalyptic number.

360790080 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 360790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667585152).

360790080 is an abundant number, since it is smaller than the sum of its proper divisors (974380224).

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

360790080 is a wasteful number, since it uses less digits than its factorization.

360790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 360790080 is about 18994.4749861637. The cubic root of 360790080 is about 711.8986936620.

The spelling of 360790080 in words is "three hundred sixty million, seven hundred ninety thousand, eighty".