86077680 has 160 divisors (see below), whose sum is σ = 293981184. Its totient is φ = 20702208.

The previous prime is 86077643. The next prime is 86077687. The reversal of 86077680 is 8677068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86077687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146347 + ... + 146933.

Almost surely, 2^86077680 is an apocalyptic number.

86077680 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 86077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990592).

86077680 is an abundant number, since it is smaller than the sum of its proper divisors (207903504).

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

86077680 is a wasteful number, since it uses less digits than its factorization.

86077680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 86077680 is about 9277.8057750742. The cubic root of 86077680 is about 441.5333554385.

The spelling of 86077680 in words is "eighty-six million, seventy-seven thousand, six hundred eighty".