86780800 has 96 divisors (see below), whose sum is σ = 219316320. Its totient is φ = 33914880.

The previous prime is 86780797. The next prime is 86780803. The reversal of 86780800 is 808768.

It is an interprime number because it is at equal distance from previous prime (86780797) and next prime (86780803).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86780800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86780803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150112 + ... + 150688.

It is an arithmetic number, because the mean of its divisors is an integer number (2284545).

Almost surely, 2^86780800 is an apocalyptic number.

86780800 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 86780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109658160).

86780800 is an abundant number, since it is smaller than the sum of its proper divisors (132535520).

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

86780800 is a wasteful number, since it uses less digits than its factorization.

86780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 86780800 is about 9315.6212889962. The cubic root of 86780800 is about 442.7323090991.

The spelling of 86780800 in words is "eighty-six million, seven hundred eighty thousand, eight hundred".