80552000 has 56 divisors (see below), whose sum is σ = 199506840. Its totient is φ = 32217600.

The previous prime is 80551979. The next prime is 80552009. The reversal of 80552000 is 25508.

It can be written as a sum of positive squares in 4 ways, for example, as 9048064 + 71503936 = 3008^2 + 8456^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (80552009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2966 + ... + 13034.

Almost surely, 2^80552000 is an apocalyptic number.

80552000 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 80552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99753420).

80552000 is an abundant number, since it is smaller than the sum of its proper divisors (118954840).

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

80552000 is a wasteful number, since it uses less digits than its factorization.

80552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096 (or 10076 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 80552000 is about 8975.0766013444. The cubic root of 80552000 is about 431.8757072696.

Adding to 80552000 its reverse (25508), we get a palindrome (80577508).

The spelling of 80552000 in words is "eighty million, five hundred fifty-two thousand".