807045120 has 480 divisors, whose sum is σ = 3329726400. Its totient is φ = 183140352.

The previous prime is 807045101. The next prime is 807045157. The reversal of 807045120 is 21540708.

807045120 is a `hidden beast` number, since 80 + 70 + 4 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 5806011 + ... + 5806149.

It is an arithmetic number, because the mean of its divisors is an integer number (6936930).

Almost surely, 2^807045120 is an apocalyptic number.

807045120 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 807045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664863200).

807045120 is an abundant number, since it is smaller than the sum of its proper divisors (2522681280).

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

807045120 is a wasteful number, since it uses less digits than its factorization.

807045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 807045120 is about 28408.5395611953. The cubic root of 807045120 is about 931.0348522093.

Adding to 807045120 its reverse (21540708), we get a palindrome (828585828).

The spelling of 807045120 in words is "eight hundred seven million, forty-five thousand, one hundred twenty".