80852000 has 192 divisors, whose sum is σ = 222899040. Its totient is φ = 28672000.

The previous prime is 80851957. The next prime is 80852033. The reversal of 80852000 is 25808.

It can be written as a sum of positive squares in 16 ways, for example, as 8737936 + 72114064 = 2956^2 + 8492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1971980 + ... + 1972020.

Almost surely, 2^80852000 is an apocalyptic number.

80852000 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 80852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

80852000 is an abundant number, since it is smaller than the sum of its proper divisors (142047040).

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

80852000 is a wasteful number, since it uses less digits than its factorization.

80852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 80852000 is about 8991.7740185127. The cubic root of 80852000 is about 432.4111882863.

Adding to 80852000 its reverse (25808), we get a palindrome (80877808).

The spelling of 80852000 in words is "eighty million, eight hundred fifty-two thousand".