8800622400 has 168 divisors, whose sum is σ = 28981989280. Its totient is φ = 2338007040.

The previous prime is 8800622393. The next prime is 8800622401. The reversal of 8800622400 is 42260088.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8800622401) 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, 1326291 + ... + 1332909.

Almost surely, 2^8800622400 is an apocalyptic number.

8800622400 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 8800622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490994640).

8800622400 is an abundant number, since it is smaller than the sum of its proper divisors (20181366880).

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

8800622400 is a wasteful number, since it uses less digits than its factorization.

8800622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921 (or 6906 counting only the distinct ones).

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

The square root of 8800622400 is about 93811.6325409594. The cubic root of 8800622400 is about 2064.6089033368.

Adding to 8800622400 its reverse (42260088), we get a palindrome (8842882488).

The spelling of 8800622400 in words is "eight billion, eight hundred million, six hundred twenty-two thousand, four hundred".