86779000 has 256 divisors, whose sum is σ = 269568000. Its totient is φ = 25872000.

The previous prime is 86778997. The next prime is 86779009. The reversal of 86779000 is 97768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86779009) 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 63 ways as a sum of consecutive naturals, for example, 3772989 + ... + 3773011.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^86779000 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 86779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

86779000 is an abundant number, since it is smaller than the sum of its proper divisors (182789000).

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

86779000 is a wasteful number, since it uses less digits than its factorization.

86779000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 86779000 is about 9315.5246765816. The cubic root of 86779000 is about 442.7292480392.

The spelling of 86779000 in words is "eighty-six million, seven hundred seventy-nine thousand".