86787280 has 80 divisors (see below), whose sum is σ = 213093504. Its totient is φ = 32806400.

The previous prime is 86787271. The next prime is 86787293. The reversal of 86787280 is 8278768.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 86787280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185607 + ... + 186073.

Almost surely, 2^86787280 is an apocalyptic number.

86787280 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 86787280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106546752).

86787280 is an abundant number, since it is smaller than the sum of its proper divisors (126306224).

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

86787280 is a wasteful number, since it uses less digits than its factorization.

86787280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 86787280 is about 9315.9690853931. The cubic root of 86787280 is about 442.7433285640.

The spelling of 86787280 in words is "eighty-six million, seven hundred eighty-seven thousand, two hundred eighty".