86763060720 has 960 divisors, whose sum is σ = 366762240000. Its totient is φ = 17933819904.

The previous prime is 86763060697. The next prime is 86763060721. The reversal of 86763060720 is 2706036768.

86763060720 is a `hidden beast` number, since 8 + 6 + 7 + 6 + 30 + 607 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86763060721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 435995181 + ... + 435995379.

It is an arithmetic number, because the mean of its divisors is an integer number (382044000).

Almost surely, 2^86763060720 is an apocalyptic number.

86763060720 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 86763060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183381120000).

86763060720 is an abundant number, since it is smaller than the sum of its proper divisors (279999179280).

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

86763060720 is a wasteful number, since it uses less digits than its factorization.

86763060720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 86763060720 in words is "eighty-six billion, seven hundred sixty-three million, sixty thousand, seven hundred twenty".