807028164 has 96 divisors (see below), whose sum is σ = 2195074560. Its totient is φ = 256110336.

The previous prime is 807028147. The next prime is 807028207. The reversal of 807028164 is 461820708.

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

It is an unprimeable number.

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, 185664 + ... + 189960.

It is an arithmetic number, because the mean of its divisors is an integer number (22865360).

Almost surely, 2^807028164 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 807028164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097537280).

807028164 is an abundant number, since it is smaller than the sum of its proper divisors (1388046396).

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

807028164 is a wasteful number, since it uses less digits than its factorization.

807028164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 807028164 is about 28408.2411282360. The cubic root of 807028164 is about 931.0283318231.

The spelling of 807028164 in words is "eight hundred seven million, twenty-eight thousand, one hundred sixty-four".