87780966 has 96 divisors (see below), whose sum is σ = 221356800. Its totient is φ = 22718592.

The previous prime is 87780961. The next prime is 87780977. The reversal of 87780966 is 66908778.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87780961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589060 + ... + 589208.

It is an arithmetic number, because the mean of its divisors is an integer number (2305800).

Almost surely, 2^87780966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87780966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

87780966 is an abundant number, since it is smaller than the sum of its proper divisors (133575834).

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

87780966 is a wasteful number, since it uses less digits than its factorization.

87780966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 87780966 is about 9369.1496946094. The cubic root of 87780966 is about 444.4266757109.

The spelling of 87780966 in words is "eighty-seven million, seven hundred eighty thousand, nine hundred sixty-six".