86798880 has 288 divisors, whose sum is σ = 345945600. Its totient is φ = 19408896.

The previous prime is 86798857. The next prime is 86798903. The reversal of 86798880 is 8889768.

It is an interprime number because it is at equal distance from previous prime (86798857) and next prime (86798903).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796266 + ... + 796374.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200).

Almost surely, 2^86798880 is an apocalyptic number.

86798880 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 86798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

86798880 is an abundant number, since it is smaller than the sum of its proper divisors (259146720).

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

86798880 is a wasteful number, since it uses less digits than its factorization.

86798880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 86798880 is about 9316.5916514571. The cubic root of 86798880 is about 442.7630533970.

It can be divided in two parts, 86798 and 880, that added together give a palindrome (87678).

The spelling of 86798880 in words is "eighty-six million, seven hundred ninety-eight thousand, eight hundred eighty".