802167120 has 120 divisors (see below), whose sum is σ = 2701389600. Its totient is φ = 213320448.

The previous prime is 802167109. The next prime is 802167139. The reversal of 802167120 is 21761208.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300351 + ... + 303009.

It is an arithmetic number, because the mean of its divisors is an integer number (22511580).

Almost surely, 2^802167120 is an apocalyptic number.

802167120 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 802167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350694800).

802167120 is an abundant number, since it is smaller than the sum of its proper divisors (1899222480).

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

802167120 is a wasteful number, since it uses less digits than its factorization.

802167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 802167120 is about 28322.5549694938. The cubic root of 802167120 is about 929.1552509562.

The spelling of 802167120 in words is "eight hundred two million, one hundred sixty-seven thousand, one hundred twenty".