867871800 has 192 divisors, whose sum is σ = 3009852000. Its totient is φ = 229847040.

The previous prime is 867871799. The next prime is 867871813. The reversal of 867871800 is 8178768.

It is a super-2 number, since 2×867871800² = 1506402922470480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 933736 + ... + 934664.

Almost surely, 2^867871800 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 867871800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504926000).

867871800 is an abundant number, since it is smaller than the sum of its proper divisors (2141980200).

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

867871800 is a wasteful number, since it uses less digits than its factorization.

867871800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 867871800 is about 29459.6639492035. The cubic root of 867871800 is about 953.8612194784.

The spelling of 867871800 in words is "eight hundred sixty-seven million, eight hundred seventy-one thousand, eight hundred".