819977984 has 72 divisors (see below), whose sum is σ = 1969107840. Its totient is φ = 332909568.

The previous prime is 819977947. The next prime is 819977989. The reversal of 819977984 is 489779918.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819977989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22007 + ... + 46089.

It is an arithmetic number, because the mean of its divisors is an integer number (27348720).

Almost surely, 2^819977984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984553920).

819977984 is an abundant number, since it is smaller than the sum of its proper divisors (1149129856).

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

819977984 is a wasteful number, since it uses less digits than its factorization.

819977984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24125 (or 24111 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 62.

The square root of 819977984 is about 28635.2577079376. The cubic root of 819977984 is about 935.9817855077.

The spelling of 819977984 in words is "eight hundred nineteen million, nine hundred seventy-seven thousand, nine hundred eighty-four".