861733080 has 320 divisors, whose sum is σ = 3201660000. Its totient is φ = 206530560.

The previous prime is 861733069. The next prime is 861733127. The reversal of 861733080 is 80337168.

861733080 is a `hidden beast` number, since 8 + 617 + 3 + 30 + 8 + 0 = 666.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1726671 + ... + 1727169.

Almost surely, 2^861733080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861733080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600830000).

861733080 is an abundant number, since it is smaller than the sum of its proper divisors (2339926920).

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

861733080 is a wasteful number, since it uses less digits than its factorization.

861733080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 861733080 is about 29355.2904942193. The cubic root of 861733080 is about 951.6069128971.

It can be divided in two parts, 86173 and 3080, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 861733080 in words is "eight hundred sixty-one million, seven hundred thirty-three thousand, eighty".