802082080 has 48 divisors (see below), whose sum is σ = 1898043840. Its totient is φ = 320303872.

The previous prime is 802082069. The next prime is 802082111. The reversal of 802082080 is 80280208.

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, 101637 + ... + 109243.

It is an arithmetic number, because the mean of its divisors is an integer number (39542580).

Almost surely, 2^802082080 is an apocalyptic number.

802082080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

802082080 is an abundant number, since it is smaller than the sum of its proper divisors (1095961760).

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

802082080 is a wasteful number, since it uses less digits than its factorization.

802082080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 802082080 is about 28321.0536527157. The cubic root of 802082080 is about 929.1224156725.

It can be divided in two parts, 8020 and 82080, that added together give a triangular number (90100 = T₄₂₄).

The spelling of 802082080 in words is "eight hundred two million, eighty-two thousand, eighty".