861196800 has 240 divisors, whose sum is σ = 2919625632. Its totient is φ = 223641600.

The previous prime is 861196781. The next prime is 861196807. The reversal of 861196800 is 8691168.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861196807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574127 + ... + 1574673.

Almost surely, 2^861196800 is an apocalyptic number.

861196800 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 861196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459812816).

861196800 is an abundant number, since it is smaller than the sum of its proper divisors (2058428832).

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

861196800 is a wasteful number, since it uses less digits than its factorization.

861196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 861196800 is about 29346.1547736667. The cubic root of 861196800 is about 951.4094682872.

The spelling of 861196800 in words is "eight hundred sixty-one million, one hundred ninety-six thousand, eight hundred".