360978720 has 96 divisors (see below), whose sum is σ = 1196959680. Its totient is φ = 91192320.

The previous prime is 360978713. The next prime is 360978773. The reversal of 360978720 is 27879063.

360978720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10671 + ... + 28910.

It is an arithmetic number, because the mean of its divisors is an integer number (12468330).

Almost surely, 2^360978720 is an apocalyptic number.

360978720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

360978720 is an abundant number, since it is smaller than the sum of its proper divisors (835980960).

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

360978720 is a wasteful number, since it uses less digits than its factorization.

360978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39618 (or 39610 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 360978720 is about 18999.4399917471. The cubic root of 360978720 is about 712.0227447180.

The spelling of 360978720 in words is "three hundred sixty million, nine hundred seventy-eight thousand, seven hundred twenty".