803166080 has 64 divisors (see below), whose sum is σ = 1960994880. Its totient is φ = 314419200.

The previous prime is 803166053. The next prime is 803166121. The reversal of 803166080 is 80661308.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 16730 + ... + 43430.

It is an arithmetic number, because the mean of its divisors is an integer number (30640545).

Almost surely, 2^803166080 is an apocalyptic number.

803166080 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 803166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980497440).

803166080 is an abundant number, since it is smaller than the sum of its proper divisors (1157828800).

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

803166080 is a wasteful number, since it uses less digits than its factorization.

803166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26767 (or 26755 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 803166080 is about 28340.1848970680. The cubic root of 803166080 is about 929.5407915222.

The spelling of 803166080 in words is "eight hundred three million, one hundred sixty-six thousand, eighty".