80200800 has 288 divisors, whose sum is σ = 299980800. Its totient is φ = 20666880.

The previous prime is 80200789. The next prime is 80200801. The reversal of 80200800 is 800208.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80200801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015161 + ... + 1015239.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^80200800 is an apocalyptic number.

80200800 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 80200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

80200800 is an abundant number, since it is smaller than the sum of its proper divisors (219780000).

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

80200800 is a wasteful number, since it uses less digits than its factorization.

80200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80200800 is about 8955.4899363463. The cubic root of 80200800 is about 431.2471455388.

The spelling of 80200800 in words is "eighty million, two hundred thousand, eight hundred".