8202806400 has 96 divisors (see below), whose sum is σ = 27018025200. Its totient is φ = 2187412480.

The previous prime is 8202806347. The next prime is 8202806401. The reversal of 8202806400 is 46082028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (8202806401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417630 + ... + 436829.

Almost surely, 2^8202806400 is an apocalyptic number.

8202806400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8202806400 is an abundant number, since it is smaller than the sum of its proper divisors (18815218800).

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

8202806400 is a wasteful number, since it uses less digits than its factorization.

8202806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854486 (or 854469 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8202806400 is about 90569.3458075082. The cubic root of 8202806400 is about 2016.7596973074.

Adding to 8202806400 its reverse (46082028), we get a palindrome (8248888428).

The spelling of 8202806400 in words is "eight billion, two hundred two million, eight hundred six thousand, four hundred".