806261120 has 64 divisors (see below), whose sum is σ = 2202832800. Its totient is φ = 276430848.

The previous prime is 806261089. The next prime is 806261147. The reversal of 806261120 is 21162608.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 806261120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85505 + ... + 94464.

Almost surely, 2^806261120 is an apocalyptic number.

806261120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806261120 is an abundant number, since it is smaller than the sum of its proper divisors (1396571680).

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

806261120 is a wasteful number, since it uses less digits than its factorization.

806261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179995 (or 179983 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 806261120 is about 28394.7375406078. The cubic root of 806261120 is about 930.7332714606.

The spelling of 806261120 in words is "eight hundred six million, two hundred sixty-one thousand, one hundred twenty".