867727920 has 80 divisors (see below), whose sum is σ = 2727896832. Its totient is φ = 228130560.

The previous prime is 867727909. The next prime is 867727961. The reversal of 867727920 is 29727768.

867727920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 867727920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8422 + ... + 42501.

Almost surely, 2^867727920 is an apocalyptic number.

867727920 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 867727920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363948416).

867727920 is an abundant number, since it is smaller than the sum of its proper divisors (1860168912).

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

867727920 is a wasteful number, since it uses less digits than its factorization.

867727920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51010 (or 51004 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 867727920 is about 29457.2218649349. The cubic root of 867727920 is about 953.8085046507.

The spelling of 867727920 in words is "eight hundred sixty-seven million, seven hundred twenty-seven thousand, nine hundred twenty".