91800800 has 216 divisors, whose sum is σ = 280200816. Its totient is φ = 28753920.

The previous prime is 91800773. The next prime is 91800809. The reversal of 91800800 is 800819.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 91800800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91800809) 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, 946352 + ... + 946448.

It is an arithmetic number, because the mean of its divisors is an integer number (1297226).

Almost surely, 2^91800800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91800800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140100408).

91800800 is an abundant number, since it is smaller than the sum of its proper divisors (188400016).

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

91800800 is a wasteful number, since it uses less digits than its factorization.

91800800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 91800800 is about 9581.2734017979. The cubic root of 91800800 is about 451.1096892669.

The spelling of 91800800 in words is "ninety-one million, eight hundred thousand, eight hundred".