868879872 has 400 divisors, whose sum is σ = 3077740512. Its totient is φ = 238878720.

The previous prime is 868879853. The next prime is 868879903. The reversal of 868879872 is 278978868.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (21676032) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

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, 11902428 + ... + 11902500.

Almost surely, 2^868879872 is an apocalyptic number.

868879872 is a gapful number since it is divisible by the number (82) 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 868879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538870256).

868879872 is an abundant number, since it is smaller than the sum of its proper divisors (2208860640).

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

868879872 is an equidigital number, since it uses as much as digits as its factorization.

868879872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The square root of 868879872 is about 29476.7683439009. The cubic root of 868879872 is about 954.2303940995.

The spelling of 868879872 in words is "eight hundred sixty-eight million, eight hundred seventy-nine thousand, eight hundred seventy-two".