86777700 has 72 divisors (see below), whose sum is σ = 253004640. Its totient is φ = 22963200.

The previous prime is 86777699. The next prime is 86777701. The reversal of 86777700 is 777768.

It is an interprime number because it is at equal distance from previous prime (86777699) and next prime (86777701).

It is not an unprimeable number, because it can be changed into a prime (86777701) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40660 + ... + 42740.

Almost surely, 2^86777700 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 86777700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126502320).

86777700 is an abundant number, since it is smaller than the sum of its proper divisors (166226940).

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

86777700 is a wasteful number, since it uses less digits than its factorization.

86777700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 42.

The square root of 86777700 is about 9315.4549003256. The cubic root of 86777700 is about 442.7270372474.

The spelling of 86777700 in words is "eighty-six million, seven hundred seventy-seven thousand, seven hundred".