1982776320 has 440 divisors, whose sum is σ = 8132059584. Its totient is φ = 452542464.

The previous prime is 1982776291. The next prime is 1982776333. The reversal of 1982776320 is 236772891.

1982776320 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 7 + 7 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902699 + ... + 2903381.

Almost surely, 2^1982776320 is an apocalyptic number.

1982776320 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 1982776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066029792).

1982776320 is an abundant number, since it is smaller than the sum of its proper divisors (6149283264).

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

1982776320 is an equidigital number, since it uses as much as digits as its factorization.

1982776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1982776320 is about 44528.3765704522. The cubic root of 1982776320 is about 1256.2938714908.

The spelling of 1982776320 in words is "one billion, nine hundred eighty-two million, seven hundred seventy-six thousand, three hundred twenty".