807928820 has 96 divisors (see below), whose sum is σ = 1863751680. Its totient is φ = 293230080.

The previous prime is 807928801. The next prime is 807928829. The reversal of 807928820 is 28829708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807928829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755246 + ... + 756314.

It is an arithmetic number, because the mean of its divisors is an integer number (19414080).

Almost surely, 2^807928820 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 807928820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931875840).

807928820 is an abundant number, since it is smaller than the sum of its proper divisors (1055822860).

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

807928820 is a wasteful number, since it uses less digits than its factorization.

With its successor (807928821) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1183).

With its successor (807928821) it forms an eRAP, since the sums of their prime factors are consecutive (1185 and 1186).

807928820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 807928820 is about 28424.0887276971. The cubic root of 807928820 is about 931.3745504328.

The spelling of 807928820 in words is "eight hundred seven million, nine hundred twenty-eight thousand, eight hundred twenty".