86820800 has 84 divisors (see below), whose sum is σ = 233101896. Its totient is φ = 31564800.

The previous prime is 86820787. The next prime is 86820817. The reversal of 86820800 is 802868.

It is a super-3 number, since 3×86820800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15134 + ... + 20066.

Almost surely, 2^86820800 is an apocalyptic number.

86820800 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 86820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116550948).

86820800 is an abundant number, since it is smaller than the sum of its proper divisors (146281096).

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

86820800 is a wasteful number, since it uses less digits than its factorization.

86820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 86820800 is about 9317.7679730717. The cubic root of 86820800 is about 442.8003217322.

The spelling of 86820800 in words is "eighty-six million, eight hundred twenty thousand, eight hundred".