806846880 has 192 divisors, whose sum is σ = 2916587520. Its totient is φ = 183665664.

The previous prime is 806846861. The next prime is 806846891. The reversal of 806846880 is 88648608.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1474767 + ... + 1475313.

It is an arithmetic number, because the mean of its divisors is an integer number (15190560).

Almost surely, 2^806846880 is an apocalyptic number.

806846880 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 806846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458293760).

806846880 is an abundant number, since it is smaller than the sum of its proper divisors (2109740640).

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

806846880 is a wasteful number, since it uses less digits than its factorization.

806846880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 806846880 is about 28405.0502551923. The cubic root of 806846880 is about 930.9586138186.

The spelling of 806846880 in words is "eight hundred six million, eight hundred forty-six thousand, eight hundred eighty".