846946800 has 480 divisors, whose sum is σ = 3653337600. Its totient is φ = 181923840.

The previous prime is 846946781. The next prime is 846946801. The reversal of 846946800 is 8649648.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846946801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284871 + ... + 1285529.

It is an arithmetic number, because the mean of its divisors is an integer number (7611120).

Almost surely, 2^846946800 is an apocalyptic number.

846946800 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 846946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826668800).

846946800 is an abundant number, since it is smaller than the sum of its proper divisors (2806390800).

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

846946800 is a wasteful number, since it uses less digits than its factorization.

846946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 846946800 is about 29102.3504205416. The cubic root of 846946800 is about 946.1326806229.

The spelling of 846946800 in words is "eight hundred forty-six million, nine hundred forty-six thousand, eight hundred".