868677600 has 288 divisors, whose sum is σ = 3344785920. Its totient is φ = 191600640.

The previous prime is 868677569. The next prime is 868677643. The reversal of 868677600 is 6776868.

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 868677600.

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, 486309 + ... + 488091.

It is an arithmetic number, because the mean of its divisors is an integer number (11613840).

Almost surely, 2^868677600 is an apocalyptic number.

868677600 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 868677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672392960).

868677600 is an abundant number, since it is smaller than the sum of its proper divisors (2476108320).

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

868677600 is a wasteful number, since it uses less digits than its factorization.

868677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 868677600 is about 29473.3371032192. The cubic root of 868677600 is about 954.1563412581.

The spelling of 868677600 in words is "eight hundred sixty-eight million, six hundred seventy-seven thousand, six hundred".