864279720 has 160 divisors (see below), whose sum is σ = 2953237320. Its totient is φ = 226644480.

The previous prime is 864279697. The next prime is 864279737. The reversal of 864279720 is 27972468.

864279720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 481451364 + 382828356 = 21942^2 + 19566^2 .

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 39 ways as a sum of consecutive naturals, for example, 195454 + ... + 199826.

Almost surely, 2^864279720 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 864279720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476618660).

864279720 is an abundant number, since it is smaller than the sum of its proper divisors (2088957600).

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

864279720 is a wasteful number, since it uses less digits than its factorization.

864279720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 864279720 is about 29398.6346621744. The cubic root of 864279720 is about 952.5434043089.

The spelling of 864279720 in words is "eight hundred sixty-four million, two hundred seventy-nine thousand, seven hundred twenty".