867952800 has 576 divisors, whose sum is σ = 3701013120. Its totient is φ = 193536000.

The previous prime is 867952783. The next prime is 867952801. The reversal of 867952800 is 8259768.

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

It is not an unprimeable number, because it can be changed into a prime (867952801) 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, 3088660 + ... + 3088940.

It is an arithmetic number, because the mean of its divisors is an integer number (6425370).

Almost surely, 2^867952800 is an apocalyptic number.

867952800 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 867952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850506560).

867952800 is an abundant number, since it is smaller than the sum of its proper divisors (2833060320).

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

867952800 is a wasteful number, since it uses less digits than its factorization.

867952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 867952800 is about 29461.0386782272. The cubic root of 867952800 is about 953.8908937365.

The spelling of 867952800 in words is "eight hundred sixty-seven million, nine hundred fifty-two thousand, eight hundred".