867872880 has 600 divisors, whose sum is σ = 3704307552. Its totient is φ = 184384512.

The previous prime is 867872857. The next prime is 867872891. The reversal of 867872880 is 88278768.

867872880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16374934 + ... + 16374986.

Almost surely, 2^867872880 is an apocalyptic number.

867872880 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 867872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852153776).

867872880 is an abundant number, since it is smaller than the sum of its proper divisors (2836434672).

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

867872880 is a wasteful number, since it uses less digits than its factorization.

867872880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The square root of 867872880 is about 29459.6822793458. The cubic root of 867872880 is about 953.8616151473.

The spelling of 867872880 in words is "eight hundred sixty-seven million, eight hundred seventy-two thousand, eight hundred eighty".