808532400 has 120 divisors (see below), whose sum is σ = 2789283280. Its totient is φ = 199019520.

The previous prime is 808532357. The next prime is 808532407. The reversal of 808532400 is 4235808.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (808532407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10315 + ... + 41514.

Almost surely, 2^808532400 is an apocalyptic number.

808532400 is a gapful number since it is divisible by the number (80) 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 808532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394641640).

808532400 is an abundant number, since it is smaller than the sum of its proper divisors (1980750880).

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

808532400 is a wasteful number, since it uses less digits than its factorization.

808532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51863 (or 51852 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 808532400 is about 28434.7041482763. The cubic root of 808532400 is about 931.6064269317.

The spelling of 808532400 in words is "eight hundred eight million, five hundred thirty-two thousand, four hundred".