8088822400 has 48 divisors (see below), whose sum is σ = 19981926990. Its totient is φ = 3235527680.

The previous prime is 8088822373. The next prime is 8088822409. The reversal of 8088822400 is 42288808.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6990297664 + 1098524736 = 83608^2 + 33144^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8088822409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1260679 + ... + 1267078.

Almost surely, 2^8088822400 is an apocalyptic number.

8088822400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8088822400 is an abundant number, since it is smaller than the sum of its proper divisors (11893104590).

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

8088822400 is a wasteful number, since it uses less digits than its factorization.

8088822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527781 (or 2527764 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8088822400 is about 89937.8807844614. The cubic root of 8088822400 is about 2007.3746405821.

The spelling of 8088822400 in words is "eight billion, eighty-eight million, eight hundred twenty-two thousand, four hundred".