91782768 has 160 divisors (see below), whose sum is σ = 311408640. Its totient is φ = 22567680.

The previous prime is 91782751. The next prime is 91782791. The reversal of 91782768 is 86728719.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69571 + ... + 70877.

It is an arithmetic number, because the mean of its divisors is an integer number (1946304).

Almost surely, 2^91782768 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 91782768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155704320).

91782768 is an abundant number, since it is smaller than the sum of its proper divisors (219625872).

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

91782768 is a wasteful number, since it uses less digits than its factorization.

91782768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 91782768 is about 9580.3323533164. The cubic root of 91782768 is about 451.0801508803.

The spelling of 91782768 in words is "ninety-one million, seven hundred eighty-two thousand, seven hundred sixty-eight".