861364800 has 336 divisors, whose sum is σ = 3184875520. Its totient is φ = 226437120.

The previous prime is 861364793. The next prime is 861364837. The reversal of 861364800 is 8463168.

It is a happy number.

861364800 is a `hidden beast` number, since 8 + 6 + 1 + 3 + 648 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5486322 + ... + 5486478.

Almost surely, 2^861364800 is an apocalyptic number.

861364800 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 861364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592437760).

861364800 is an abundant number, since it is smaller than the sum of its proper divisors (2323510720).

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

861364800 is a wasteful number, since it uses less digits than its factorization.

861364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 861364800 is about 29349.0170193143. The cubic root of 861364800 is about 951.4713304145.

The spelling of 861364800 in words is "eight hundred sixty-one million, three hundred sixty-four thousand, eight hundred".