861694800 has 120 divisors (see below), whose sum is σ = 2767587744. Its totient is φ = 229178880.

The previous prime is 861694789. The next prime is 861694811. The reversal of 861694800 is 8496168.

861694800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (861694789) and next prime (861694811).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626914 + ... + 628286.

Almost surely, 2^861694800 is an apocalyptic number.

861694800 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 861694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383793872).

861694800 is an abundant number, since it is smaller than the sum of its proper divisors (1905892944).

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

861694800 is a wasteful number, since it uses less digits than its factorization.

861694800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 861694800 is about 29354.6384750349. The cubic root of 861694800 is about 951.5928218934.

The spelling of 861694800 in words is "eight hundred sixty-one million, six hundred ninety-four thousand, eight hundred".