86778576720 has 480 divisors, whose sum is σ = 347891483520. Its totient is φ = 19798732800.

The previous prime is 86778576719. The next prime is 86778576721. The reversal of 86778576720 is 2767587768.

It is an interprime number because it is at equal distance from previous prime (86778576719) and next prime (86778576721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86778576721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4433355 + ... + 4452885.

It is an arithmetic number, because the mean of its divisors is an integer number (724773924).

Almost surely, 2^86778576720 is an apocalyptic number.

86778576720 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 86778576720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173945741760).

86778576720 is an abundant number, since it is smaller than the sum of its proper divisors (261112906800).

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

86778576720 is a wasteful number, since it uses less digits than its factorization.

86778576720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592 (or 19569 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

It can be divided in two parts, 867 and 78576720, that added together give a palindrome (78577587).

The spelling of 86778576720 in words is "eighty-six billion, seven hundred seventy-eight million, five hundred seventy-six thousand, seven hundred twenty".