867002400 has 576 divisors, whose sum is σ = 3543523200. Its totient is φ = 202752000.

The previous prime is 867002347. The next prime is 867002401. The reversal of 867002400 is 4200768.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (867002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9741556 + ... + 9741644.

It is an arithmetic number, because the mean of its divisors is an integer number (6151950).

Almost surely, 2^867002400 is an apocalyptic number.

867002400 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 867002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771761600).

867002400 is an abundant number, since it is smaller than the sum of its proper divisors (2676520800).

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

867002400 is a wasteful number, since it uses less digits than its factorization.

867002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 867002400 is about 29444.9044827794. The cubic root of 867002400 is about 953.5425994495.

The spelling of 867002400 in words is "eight hundred sixty-seven million, two thousand, four hundred".