80215200 has 216 divisors, whose sum is σ = 304972668. Its totient is φ = 19722240.

The previous prime is 80215181. The next prime is 80215211. The reversal of 80215200 is 251208.

It can be written as a sum of positive squares in 6 ways, for example, as 33593616 + 46621584 = 5796^2 + 6828^2 .

It is a super-2 number, since 2×80215200² = 12868956622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93172 + ... + 94028.

Almost surely, 2^80215200 is an apocalyptic number.

80215200 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 80215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152486334).

80215200 is an abundant number, since it is smaller than the sum of its proper divisors (224757468).

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

80215200 is a wasteful number, since it uses less digits than its factorization.

80215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 80215200 is about 8956.2938763754. The cubic root of 80215200 is about 431.2729540397.

Adding to 80215200 its reverse (251208), we get a palindrome (80466408).

The spelling of 80215200 in words is "eighty million, two hundred fifteen thousand, two hundred".