802052000 has 48 divisors (see below), whose sum is σ = 1970651592. Its totient is φ = 320819200.

The previous prime is 802051981. The next prime is 802052011. The reversal of 802052000 is 250208.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133726096 + 668325904 = 11564^2 + 25852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 802052000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96257 + ... + 104256.

Almost surely, 2^802052000 is an apocalyptic number.

802052000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

802052000 is an abundant number, since it is smaller than the sum of its proper divisors (1168599592).

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

802052000 is a wasteful number, since it uses less digits than its factorization.

802052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200538 (or 200520 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 802052000 is about 28320.5225940483. The cubic root of 802052000 is about 929.1108007550.

The spelling of 802052000 in words is "eight hundred two million, fifty-two thousand".