329878980 has 120 divisors (see below), whose sum is σ = 1042236888. Its totient is φ = 87340032.

The previous prime is 329878963. The next prime is 329878981. The reversal of 329878980 is 89878923.

It can be written as a sum of positive squares in 4 ways, for example, as 99082116 + 230796864 = 9954^2 + 15192^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (329878981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253692 + ... + 254988.

Almost surely, 2^329878980 is an apocalyptic number.

329878980 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 329878980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521118444).

329878980 is an abundant number, since it is smaller than the sum of its proper divisors (712357908).

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

329878980 is a wasteful number, since it uses less digits than its factorization.

329878980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 329878980 is about 18162.5708532685. The cubic root of 329878980 is about 690.9578379838.

The spelling of 329878980 in words is "three hundred twenty-nine million, eight hundred seventy-eight thousand, nine hundred eighty".