808029264 has 160 divisors (see below), whose sum is σ = 2565550080. Its totient is φ = 213981696.

The previous prime is 808029263. The next prime is 808029289. The reversal of 808029264 is 462920808.

It is a super-2 number, since 2×808029264² = 1305822582960763392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808029263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298702 + ... + 301394.

It is an arithmetic number, because the mean of its divisors is an integer number (16034688).

Almost surely, 2^808029264 is an apocalyptic number.

808029264 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 808029264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282775040).

808029264 is an abundant number, since it is smaller than the sum of its proper divisors (1757520816).

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

808029264 is a wasteful number, since it uses less digits than its factorization.

808029264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 808029264 is about 28425.8555544068. The cubic root of 808029264 is about 931.4131458744.

The spelling of 808029264 in words is "eight hundred eight million, twenty-nine thousand, two hundred sixty-four".