808726464 has 448 divisors, whose sum is σ = 3026867200. Its totient is φ = 206032896.

The previous prime is 808726463. The next prime is 808726537. The reversal of 808726464 is 464627808.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808726463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5818107 + ... + 5818245.

It is an arithmetic number, because the mean of its divisors is an integer number (6756400).

Almost surely, 2^808726464 is an apocalyptic number.

808726464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513433600).

808726464 is an abundant number, since it is smaller than the sum of its proper divisors (2218140736).

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

808726464 is a wasteful number, since it uses less digits than its factorization.

808726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 808726464 is about 28438.1163933197. The cubic root of 808726464 is about 931.6809557145.

The spelling of 808726464 in words is "eight hundred eight million, seven hundred twenty-six thousand, four hundred sixty-four".