320076283320 has 256 divisors, whose sum is σ = 1112120524800. Its totient is φ = 81806630400.

The previous prime is 320076283277. The next prime is 320076283327. The reversal of 320076283320 is 23382670023.

It is a happy number.

320076283320 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 7 + 628 + 3 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320076283327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617545 + ... + 2737095.

It is an arithmetic number, because the mean of its divisors is an integer number (4344220800).

Almost surely, 2^320076283320 is an apocalyptic number.

320076283320 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 320076283320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556060262400).

320076283320 is an abundant number, since it is smaller than the sum of its proper divisors (792044241480).

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

320076283320 is a wasteful number, since it uses less digits than its factorization.

320076283320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119675 (or 119665 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 320076283320 in words is "three hundred twenty billion, seventy-six million, two hundred eighty-three thousand, three hundred twenty".