846478080 has 288 divisors, whose sum is σ = 3433920000. Its totient is φ = 193425408.

The previous prime is 846478079. The next prime is 846478081. The reversal of 846478080 is 80874648.

It is an interprime number because it is at equal distance from previous prime (846478079) and next prime (846478081).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (846478081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240171 + ... + 243669.

Almost surely, 2^846478080 is an apocalyptic number.

846478080 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 846478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716960000).

846478080 is an abundant number, since it is smaller than the sum of its proper divisors (2587441920).

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

846478080 is a wasteful number, since it uses less digits than its factorization.

846478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 846478080 is about 29094.2963482536. The cubic root of 846478080 is about 945.9581111599.

The spelling of 846478080 in words is "eight hundred forty-six million, four hundred seventy-eight thousand, eighty".