86777712 has 240 divisors, whose sum is σ = 306408960. Its totient is φ = 22353408.

The previous prime is 86777701. The next prime is 86777767. The reversal of 86777712 is 21777768.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440398 + ... + 440594.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 2^86777712 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 86777712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

86777712 is an abundant number, since it is smaller than the sum of its proper divisors (219631248).

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

86777712 is a wasteful number, since it uses less digits than its factorization.

86777712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its digits is 230496, while the sum is 45.

The square root of 86777712 is about 9315.4555444165. The cubic root of 86777712 is about 442.7270576549.

The spelling of 86777712 in words is "eighty-six million, seven hundred seventy-seven thousand, seven hundred twelve".