807983820 has 288 divisors, whose sum is σ = 3015387648. Its totient is φ = 170919936.

The previous prime is 807983807. The next prime is 807983831. The reversal of 807983820 is 28389708.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1434859 + ... + 1435421.

It is an arithmetic number, because the mean of its divisors is an integer number (10470096).

Almost surely, 2^807983820 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 807983820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507693824).

807983820 is an abundant number, since it is smaller than the sum of its proper divisors (2207403828).

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

807983820 is a wasteful number, since it uses less digits than its factorization.

807983820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 807983820 is about 28425.0562004721. The cubic root of 807983820 is about 931.3956844884.

The spelling of 807983820 in words is "eight hundred seven million, nine hundred eighty-three thousand, eight hundred twenty".