807984 has 60 divisors (see below), whose sum is σ = 2347072. Its totient is φ = 259200.

The previous prime is 807973. The next prime is 807997. The reversal of 807984 is 489708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4374 + ... + 4554.

2⁸⁰⁷⁹⁸⁴ 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 807984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173536).

807984 is an abundant number, since it is smaller than the sum of its proper divisors (1539088).

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

807984 is a wasteful number, since it uses less digits than its factorization.

807984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 807984 is about 898.8793022425. The cubic root of 807984 is about 93.1395753653.

The spelling of 807984 in words is "eight hundred seven thousand, nine hundred eighty-four".