86802300 has 144 divisors (see below), whose sum is σ = 300640480. Its totient is φ = 21358080.

The previous prime is 86802283. The next prime is 86802301. The reversal of 86802300 is 320868.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86802301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33864 + ... + 36336.

Almost surely, 2^86802300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86802300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150320240).

86802300 is an abundant number, since it is smaller than the sum of its proper divisors (213838180).

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

86802300 is a wasteful number, since it uses less digits than its factorization.

86802300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86802300 is about 9316.7751931664. The cubic root of 86802300 is about 442.7688684865.

The spelling of 86802300 in words is "eighty-six million, eight hundred two thousand, three hundred".