806939280 has 320 divisors, whose sum is σ = 3219793920. Its totient is φ = 181937664.

The previous prime is 806939267. The next prime is 806939281. The reversal of 806939280 is 82939608.

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 (806939281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254639 + ... + 1255281.

It is an arithmetic number, because the mean of its divisors is an integer number (10061856).

Almost surely, 2^806939280 is an apocalyptic number.

806939280 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 806939280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609896960).

806939280 is an abundant number, since it is smaller than the sum of its proper divisors (2412854640).

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

806939280 is a wasteful number, since it uses less digits than its factorization.

806939280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 806939280 is about 28406.6766799638. The cubic root of 806939280 is about 930.9941502154.

The spelling of 806939280 in words is "eight hundred six million, nine hundred thirty-nine thousand, two hundred eighty".