320798880 has 288 divisors, whose sum is σ = 1171183104. Its totient is φ = 82861056.

The previous prime is 320798879. The next prime is 320798887. The reversal of 320798880 is 88897023.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (320798887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438449 + ... + 1438671.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2^320798880 is an apocalyptic number.

320798880 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 320798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

320798880 is an abundant number, since it is smaller than the sum of its proper divisors (850384224).

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

320798880 is a wasteful number, since it uses less digits than its factorization.

320798880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 320798880 is about 17910.8592758695. The cubic root of 320798880 is about 684.5590996557.

The spelling of 320798880 in words is "three hundred twenty million, seven hundred ninety-eight thousand, eight hundred eighty".