86776840 has 64 divisors (see below), whose sum is σ = 212382000. Its totient is φ = 31776768.

The previous prime is 86776817. The next prime is 86776841. The reversal of 86776840 is 4867768.

It can be written as a sum of positive squares in 8 ways, for example, as 38862756 + 47914084 = 6234^2 + 6922^2 .

It is not an unprimeable number, because it can be changed into a prime (86776841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23436 + ... + 26884.

Almost surely, 2^86776840 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 86776840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106191000).

86776840 is an abundant number, since it is smaller than the sum of its proper divisors (125605160).

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

86776840 is a wasteful number, since it uses less digits than its factorization.

86776840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 86776840 is about 9315.4087403613. The cubic root of 86776840 is about 442.7255747115.

It can be divided in two parts, 86776 and 840, that added together give a square (87616 = 296²).

The spelling of 86776840 in words is "eighty-six million, seven hundred seventy-six thousand, eight hundred forty".