91782880 has 144 divisors (see below), whose sum is σ = 263723040. Its totient is φ = 30041088.

The previous prime is 91782877. The next prime is 91782893. The reversal of 91782880 is 8828719.

It is a super-2 number, since 2×91782880² = 16848194122188800, which contains 22 as substring.

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, 180066 + ... + 180574.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^91782880 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 91782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131861520).

91782880 is an abundant number, since it is smaller than the sum of its proper divisors (171940160).

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

91782880 is a wasteful number, since it uses less digits than its factorization.

91782880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The square root of 91782880 is about 9580.3381986233. The cubic root of 91782880 is about 451.0803343604.

The spelling of 91782880 in words is "ninety-one million, seven hundred eighty-two thousand, eight hundred eighty".