867303078400 has 240 divisors, whose sum is σ = 2346435229248. Its totient is φ = 315076608000.

The previous prime is 867303078391. The next prime is 867303078407. The reversal of 867303078400 is 4870303768.

It is not an unprimeable number, because it can be changed into a prime (867303078407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185994469 + ... + 185999131.

Almost surely, 2^867303078400 is an apocalyptic number.

867303078400 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 867303078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173217614624).

867303078400 is an abundant number, since it is smaller than the sum of its proper divisors (1479132150848).

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

867303078400 is a wasteful number, since it uses less digits than its factorization.

867303078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 867303078400 in words is "eight hundred sixty-seven billion, three hundred three million, seventy-eight thousand, four hundred".