86080397760 has 336 divisors, whose sum is σ = 350912679936. Its totient is φ = 19675395072.

The previous prime is 86080397723. The next prime is 86080397771. The reversal of 86080397760 is 6779308068.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86080397697 and 86080397706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465249 + ... + 623391.

It is an arithmetic number, because the mean of its divisors is an integer number (1044382976).

Almost surely, 2^86080397760 is an apocalyptic number.

86080397760 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 86080397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175456339968).

86080397760 is an abundant number, since it is smaller than the sum of its proper divisors (264832282176).

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

86080397760 is a wasteful number, since it uses less digits than its factorization.

86080397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158182 (or 158160 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 86080397760 in words is "eighty-six billion, eighty million, three hundred ninety-seven thousand, seven hundred sixty".