808164819 has 96 divisors (see below), whose sum is σ = 1553610240. Its totient is φ = 391910400.

The previous prime is 808164793. The next prime is 808164839. The reversal of 808164819 is 918461808.

It is not a de Polignac number, because 808164819 - 2⁹ = 808164307 is a prime.

It is a super-2 number, since 2×808164819² = 1306260749338605522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (808164839) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2132172 + ... + 2132550.

It is an arithmetic number, because the mean of its divisors is an integer number (16183440).

Almost surely, 2^808164819 is an apocalyptic number.

808164819 is a deficient number, since it is larger than the sum of its proper divisors (745445421).

808164819 is a wasteful number, since it uses less digits than its factorization.

808164819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 808164819 is about 28428.2398153667. The cubic root of 808164819 is about 931.4652275893.

It can be divided in two parts, 8081 and 64819, that added together give a square (72900 = 270²).

The spelling of 808164819 in words is "eight hundred eight million, one hundred sixty-four thousand, eight hundred nineteen".