861389760 has 448 divisors, whose sum is σ = 3501932544. Its totient is φ = 174182400.

The previous prime is 861389759. The next prime is 861389773. The reversal of 861389760 is 67983168.

861389760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3178425 + ... + 3178695.

Almost surely, 2^861389760 is an apocalyptic number.

861389760 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 861389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750966272).

861389760 is an abundant number, since it is smaller than the sum of its proper divisors (2640542784).

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

861389760 is a wasteful number, since it uses less digits than its factorization.

861389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 861389760 is about 29349.4422434226. The cubic root of 861389760 is about 951.4805206728.

The spelling of 861389760 in words is "eight hundred sixty-one million, three hundred eighty-nine thousand, seven hundred sixty".