86765760 has 168 divisors, whose sum is σ = 305263296. Its totient is φ = 22609920.

The previous prime is 86765747. The next prime is 86765771. The reversal of 86765760 is 6756768.

86765760 is a `hidden beast` number, since 8 + 6 + 76 + 576 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135040 + ... + 135680.

Almost surely, 2^86765760 is an apocalyptic number.

86765760 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 86765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152631648).

86765760 is an abundant number, since it is smaller than the sum of its proper divisors (218497536).

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

86765760 is a wasteful number, since it uses less digits than its factorization.

86765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 86765760 is about 9314.8140078050. The cubic root of 86765760 is about 442.7067309426.

The spelling of 86765760 in words is "eighty-six million, seven hundred sixty-five thousand, seven hundred sixty".