868996800 has 504 divisors, whose sum is σ = 3640811616. Its totient is φ = 192430080.

The previous prime is 868996783. The next prime is 868996831. The reversal of 868996800 is 8699868.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3729484 + ... + 3729716.

Almost surely, 2^868996800 is an apocalyptic number.

868996800 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 868996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820405808).

868996800 is an abundant number, since it is smaller than the sum of its proper divisors (2771814816).

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

868996800 is a wasteful number, since it uses less digits than its factorization.

868996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 868996800 is about 29478.7516696349. The cubic root of 868996800 is about 954.2731968123.

The spelling of 868996800 in words is "eight hundred sixty-eight million, nine hundred ninety-six thousand, eight hundred".