89784736800 has 432 divisors, whose sum is σ = 324644658912. Its totient is φ = 21375180800.

The previous prime is 89784736799. The next prime is 89784736801. The reversal of 89784736800 is 863748798.

It is an interprime number because it is at equal distance from previous prime (89784736799) and next prime (89784736801).

It is a super-2 number, since 2×89784736800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (89784736801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91897912 + ... + 91898888.

It is an arithmetic number, because the mean of its divisors is an integer number (751492266).

Almost surely, 2^89784736800 is an apocalyptic number.

89784736800 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 89784736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162322329456).

89784736800 is an abundant number, since it is smaller than the sum of its proper divisors (234859922112).

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

89784736800 is a wasteful number, since it uses less digits than its factorization.

89784736800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 89784736800 in words is "eighty-nine billion, seven hundred eighty-four million, seven hundred thirty-six thousand, eight hundred".