808026400 has 36 divisors (see below), whose sum is σ = 1972596402. Its totient is φ = 323210240.

The previous prime is 808026383. The next prime is 808026403. The reversal of 808026400 is 4620808.

It can be written as a sum of positive squares in 3 ways, for example, as 534719376 + 273307024 = 23124^2 + 16532^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (808026403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504217 + ... + 505816.

Almost surely, 2^808026400 is an apocalyptic number.

808026400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808026400 is an abundant number, since it is smaller than the sum of its proper divisors (1164570002).

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

808026400 is a wasteful number, since it uses less digits than its factorization.

808026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010053 (or 1010040 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 808026400 is about 28425.8051776902. The cubic root of 808026400 is about 931.4120454314.

The spelling of 808026400 in words is "eight hundred eight million, twenty-six thousand, four hundred".