806420880 has 80 divisors (see below), whose sum is σ = 2777679360. Its totient is φ = 215044992.

The previous prime is 806420837. The next prime is 806420897. The reversal of 806420880 is 88024608.

806420880 is a `hidden beast` number, since 8 + 0 + 642 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184512 + ... + 188831.

It is an arithmetic number, because the mean of its divisors is an integer number (34720992).

Almost surely, 2^806420880 is an apocalyptic number.

806420880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806420880 is an abundant number, since it is smaller than the sum of its proper divisors (1971258480).

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

806420880 is a wasteful number, since it uses less digits than its factorization.

806420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373365 (or 373353 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 806420880 is about 28397.5505985992. The cubic root of 806420880 is about 930.7947420866.

The spelling of 806420880 in words is "eight hundred six million, four hundred twenty thousand, eight hundred eighty".