8805476400 has 720 divisors, whose sum is σ = 36347387904. Its totient is φ = 1807196160.

The previous prime is 8805476399. The next prime is 8805476401. The reversal of 8805476400 is 46745088.

It is an interprime number because it is at equal distance from previous prime (8805476399) and next prime (8805476401).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8805476401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22990609 + ... + 22990991.

Almost surely, 2^8805476400 is an apocalyptic number.

8805476400 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 8805476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173693952).

8805476400 is an abundant number, since it is smaller than the sum of its proper divisors (27541911504).

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

8805476400 is a wasteful number, since it uses less digits than its factorization.

8805476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 8805476400 is about 93837.4999666977. The cubic root of 8805476400 is about 2064.9884132262.

The spelling of 8805476400 in words is "eight billion, eight hundred five million, four hundred seventy-six thousand, four hundred".