89776800 has 216 divisors, whose sum is σ = 326096316. Its totient is φ = 23224320.

The previous prime is 89776783. The next prime is 89776801. The reversal of 89776800 is 867798.

It can be written as a sum of positive squares in 6 ways, for example, as 41835024 + 47941776 = 6468^2 + 6924^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (89776801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266232 + ... + 266568.

Almost surely, 2^89776800 is an apocalyptic number.

89776800 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 89776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163048158).

89776800 is an abundant number, since it is smaller than the sum of its proper divisors (236319516).

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

89776800 is a wasteful number, since it uses less digits than its factorization.

89776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 89776800 is about 9475.0620050742. The cubic root of 89776800 is about 447.7697051915.

The spelling of 89776800 in words is "eighty-nine million, seven hundred seventy-six thousand, eight hundred".