845251680 has 384 divisors, whose sum is σ = 3371977728. Its totient is φ = 173187072.

The previous prime is 845251657. The next prime is 845251703. The reversal of 845251680 is 86152548.

It is an interprime number because it is at equal distance from previous prime (845251657) and next prime (845251703).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1615899 + ... + 1616421.

It is an arithmetic number, because the mean of its divisors is an integer number (8781192).

Almost surely, 2^845251680 is an apocalyptic number.

845251680 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 845251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685988864).

845251680 is an abundant number, since it is smaller than the sum of its proper divisors (2526726048).

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

845251680 is a wasteful number, since it uses less digits than its factorization.

845251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 845251680 is about 29073.2124128036. The cubic root of 845251680 is about 945.5010472466.

The spelling of 845251680 in words is "eight hundred forty-five million, two hundred fifty-one thousand, six hundred eighty".