91880800 has 144 divisors (see below), whose sum is σ = 250577712. Its totient is φ = 32614400.

The previous prime is 91880797. The next prime is 91880813. The reversal of 91880800 is 808819.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466302 + ... + 466498.

It is an arithmetic number, because the mean of its divisors is an integer number (1740123).

Almost surely, 2^91880800 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 91880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125288856).

91880800 is an abundant number, since it is smaller than the sum of its proper divisors (158696912).

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

91880800 is a wasteful number, since it uses less digits than its factorization.

91880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 91880800 is about 9585.4473030736. The cubic root of 91880800 is about 451.2406913824.

It can be divided in two parts, 918 and 80800, that added together give a palindrome (81718).

The spelling of 91880800 in words is "ninety-one million, eight hundred eighty thousand, eight hundred".