846869760 has 432 divisors, whose sum is σ = 3294502848. Its totient is φ = 199065600.

The previous prime is 846869717. The next prime is 846869761. The reversal of 846869760 is 67968648.

It is a junction number, because it is equal to n+sod(n) for n = 846869697 and 846869706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846869761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5195439 + ... + 5195601.

It is an arithmetic number, because the mean of its divisors is an integer number (7626164).

Almost surely, 2^846869760 is an apocalyptic number.

846869760 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 846869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647251424).

846869760 is an abundant number, since it is smaller than the sum of its proper divisors (2447633088).

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

846869760 is a wasteful number, since it uses less digits than its factorization.

846869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 846869760 is about 29101.0267860088. The cubic root of 846869760 is about 946.1039923701.

The spelling of 846869760 in words is "eight hundred forty-six million, eight hundred sixty-nine thousand, seven hundred sixty".