861000376320 has 1344 divisors, whose sum is σ = 3805406542080. Its totient is φ = 175305129984.

The previous prime is 861000376309. The next prime is 861000376349. The reversal of 861000376320 is 23673000168.

It is a happy number.

861000376320 is a `hidden beast` number, since 8 + 6 + 10 + 0 + 0 + 3 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 833494524 + ... + 833495556.

Almost surely, 2^861000376320 is an apocalyptic number.

861000376320 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 861000376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902703271040).

861000376320 is an abundant number, since it is smaller than the sum of its proper divisors (2944406165760).

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

861000376320 is a wasteful number, since it uses less digits than its factorization.

861000376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 861000376320 its reverse (23673000168), we get a palindrome (884673376488).

The spelling of 861000376320 in words is "eight hundred sixty-one billion, three hundred seventy-six thousand, three hundred twenty".