867484800 has 576 divisors, whose sum is σ = 3821213760. Its totient is φ = 182476800.

The previous prime is 867484777. The next prime is 867484819. The reversal of 867484800 is 8484768.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 2620635 + ... + 2620965.

Almost surely, 2^867484800 is an apocalyptic number.

867484800 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 867484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910606880).

867484800 is an abundant number, since it is smaller than the sum of its proper divisors (2953728960).

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

867484800 is a wasteful number, since it uses less digits than its factorization.

867484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 867484800 is about 29453.0949137777. The cubic root of 867484800 is about 953.7194169776.

The spelling of 867484800 in words is "eight hundred sixty-seven million, four hundred eighty-four thousand, eight hundred".