86778880 has 88 divisors (see below), whose sum is σ = 220633848. Its totient is φ = 32636928.

The previous prime is 86778841. The next prime is 86778917. The reversal of 86778880 is 8887768.

It can be written as a sum of positive squares in 4 ways, for example, as 33547264 + 53231616 = 5792^2 + 7296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86542 + ... + 87538.

Almost surely, 2^86778880 is an apocalyptic number.

86778880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110316924).

86778880 is an abundant number, since it is smaller than the sum of its proper divisors (133854968).

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

86778880 is a wasteful number, since it uses less digits than its factorization.

86778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 52.

The square root of 86778880 is about 9315.5182357183. The cubic root of 86778880 is about 442.7290439671.

The spelling of 86778880 in words is "eighty-six million, seven hundred seventy-eight thousand, eight hundred eighty".