87782912 has 60 divisors (see below), whose sum is σ = 204088500. Its totient is φ = 37610496.

The previous prime is 87782897. The next prime is 87782953. The reversal of 87782912 is 21928778.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23339 + ... + 26837.

It is an arithmetic number, because the mean of its divisors is an integer number (3401475).

Almost surely, 2^87782912 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 87782912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102044250).

87782912 is an abundant number, since it is smaller than the sum of its proper divisors (116305588).

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

87782912 is an equidigital number, since it uses as much as digits as its factorization.

87782912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3508 counting only the distinct ones).

The product of its digits is 112896, while the sum is 44.

The square root of 87782912 is about 9369.2535455072. The cubic root of 87782912 is about 444.4299598242.

The spelling of 87782912 in words is "eighty-seven million, seven hundred eighty-two thousand, nine hundred twelve".