86788800 has 504 divisors, whose sum is σ = 377007120. Its totient is φ = 19353600.

The previous prime is 86788799. The next prime is 86788811. The reversal of 86788800 is 888768.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116780 + ... + 2116820.

It is an arithmetic number, because the mean of its divisors is an integer number (748030).

Almost surely, 2^86788800 is an apocalyptic number.

86788800 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 86788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188503560).

86788800 is an abundant number, since it is smaller than the sum of its proper divisors (290218320).

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

86788800 is a wasteful number, since it uses less digits than its factorization.

86788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 86788800 is about 9316.0506653839. The cubic root of 86788800 is about 442.7459132974.

The spelling of 86788800 in words is "eighty-six million, seven hundred eighty-eight thousand, eight hundred".