864179280 has 200 divisors, whose sum is σ = 3159842400. Its totient is φ = 218287872.

The previous prime is 864179279. The next prime is 864179287. The reversal of 864179280 is 82971468.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864179287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119611 + ... + 126629.

It is an arithmetic number, because the mean of its divisors is an integer number (15799212).

Almost surely, 2^864179280 is an apocalyptic number.

864179280 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 864179280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579921200).

864179280 is an abundant number, since it is smaller than the sum of its proper divisors (2295663120).

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

864179280 is a wasteful number, since it uses less digits than its factorization.

864179280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 864179280 is about 29396.9263699455. The cubic root of 864179280 is about 952.5065037686.

The spelling of 864179280 in words is "eight hundred sixty-four million, one hundred seventy-nine thousand, two hundred eighty".