1978296320 has 384 divisors, whose sum is σ = 6406283520. Its totient is φ = 566231040.

The previous prime is 1978296319. The next prime is 1978296323. The reversal of 1978296320 is 236928791.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1978296323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10250144 + ... + 10250336.

It is an arithmetic number, because the mean of its divisors is an integer number (16683030).

Almost surely, 2^1978296320 is an apocalyptic number.

1978296320 is a gapful number since it is divisible by the number (10) 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 1978296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203141760).

1978296320 is an abundant number, since it is smaller than the sum of its proper divisors (4427987200).

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

1978296320 is a wasteful number, since it uses less digits than its factorization.

1978296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 1978296320 is about 44478.0431224217. The cubic root of 1978296320 is about 1255.3469768583.

The spelling of 1978296320 in words is "one billion, nine hundred seventy-eight million, two hundred ninety-six thousand, three hundred twenty".