867888000 has 768 divisors, whose sum is σ = 3809332800. Its totient is φ = 193536000.

The previous prime is 867887987. The next prime is 867888001. The reversal of 867888000 is 888768.

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 (867888001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21167980 + ... + 21168020.

Almost surely, 2^867888000 is an apocalyptic number.

867888000 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 867888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904666400).

867888000 is an abundant number, since it is smaller than the sum of its proper divisors (2941444800).

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

867888000 is a wasteful number, since it uses less digits than its factorization.

867888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 867888000 is about 29459.9389001403. The cubic root of 867888000 is about 953.8671544777.

The spelling of 867888000 in words is "eight hundred sixty-seven million, eight hundred eighty-eight thousand".